LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 785/553, 3210/888

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 785/553, 3210/888 i.e 5/491064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 785/553, 3210/888.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 785/553,3210/888?

Given fractions are 785/553,3210/888

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 785/553,3210/888, numerators are 785,3210

Denominators are 553,888

The GCF of 785,3210 is 5 .

LCM of 553,888 is 491064.

The greatest common factor of 785/553,3210/888 = [GCF of 785,3210]/[LCM of 553,888]= 5/491064

Therefore, the GCF of 785/553,3210/888 is 5/491064.

Greatest Common Factor of 785,3210

To find the highest common factor of 785,3210, we have to find the factors of both numbers and list the highest common factor.

The factors of 785 are 1, 5, 157, 785

The factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210

The HCF of 785,3210 is 5.

Lets's calculate GCF of 785,3210

Greatest Common Factor (GCF) of 785,3210 By Common Division

5 785, 3210
157, 642

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 785,3210 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,3210 By Matching Biggest Common Factor Method

Now, list down the factors of 785

:

1,5,157,785

Now, list down the factors of 3210

:

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors 785,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 785,3210 is 5.


Lets's calculate LCM of 553,888

Lowest Common Multiple of 553,888 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 491064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/491064

Therefore, the GCF of Fractions 785/553,3210/888 is 5/491064

Least Common Multiple of 553,888 with GCF Formula

Least Common Multiple of 553,888 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 553,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,888) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(553,888) x common factors =1 x 1 = 1

LCM(553,888) = ( 553 × 888 ) / 1

LCM(553,888) = 491064 / 1

LCM(553,888) = 491064


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 785/553, 3210/888

1. What is the HCF of 785,3210?

The HCF of 785,3210 is 5

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 785/553, 3210/888?

Answer: GCF of Numerators as per given numbers 785/553, 3210/888 is

GCF of Numerators i.e. for 785,3210 is 5

LCM of denominators i.e. for 553,888 is 491064.

Thus, GCF of Fractions is 5/491064.Finally, GCF of Fractions for 785/553, 3210/888 is 5/491064.