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GCF of 210/13, 785/1523

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 210/13, 785/1523 i.e 5/19799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/13, 785/1523.

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 210/13,785/1523?

Given fractions are 210/13,785/1523

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 210/13,785/1523, numerators are 210,785

Denominators are 13,1523

The GCF of 210,785 is 5 .

LCM of 13,1523 is 19799.

The greatest common factor of 210/13,785/1523 = [GCF of 210,785]/[LCM of 13,1523]= 5/19799

Therefore, the GCF of 210/13,785/1523 is 5/19799.

Greatest Common Factor of 210,785

To find the highest common factor of 210,785, we have to find the factors of both numbers and list the highest common factor.

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

The HCF of 210,785 is 5.

Lets's calculate GCF of 210,785

Greatest Common Factor (GCF) of 210,785 By Common Division

5 210, 785
42, 157

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

Greatest Common Factor of 210,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,785 By Matching Biggest Common Factor Method

Now, list down the factors of 210

:

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Now, list down the factors of 785

:

1,5,157,785

Greatest Common Factor

We found the factors 210,785 . The biggest common factor number is the GCF number.
So the greatest common factor 210,785 is 5.

Lets's calculate LCM of 13,1523

Lowest Common Multiple of 13,1523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19799

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/19799

Therefore, the GCF of Fractions 210/13,785/1523 is 5/19799

Least Common Multiple of 13,1523 with GCF Formula

Least Common Multiple of 13,1523 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 13,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1523) = 1

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

GCF(13,1523) x common factors =1 x 1 = 1

LCM(13,1523) = ( 13 × 1523 ) / 1

LCM(13,1523) = 19799 / 1

LCM(13,1523) = 19799


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 210/13, 785/1523

1. What is the HCF of 210,785?

The HCF of 210,785 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 210/13, 785/1523?

Answer: GCF of Numerators as per given numbers 210/13, 785/1523 is

GCF of Numerators i.e. for 210,785 is 5

LCM of denominators i.e. for 13,1523 is 19799.

Thus, GCF of Fractions is 5/19799.Finally, GCF of Fractions for 210/13, 785/1523 is 5/19799.