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GCF of 785/13, 300/2499

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 785/13, 300/2499 i.e 5/32487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 785/13, 300/2499.

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 785/13,300/2499?

Given fractions are 785/13,300/2499

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 785/13,300/2499, numerators are 785,300

Denominators are 13,2499

The GCF of 785,300 is 5 .

LCM of 13,2499 is 32487.

The greatest common factor of 785/13,300/2499 = [GCF of 785,300]/[LCM of 13,2499]= 5/32487

Therefore, the GCF of 785/13,300/2499 is 5/32487.

Greatest Common Factor of 785,300

To find the highest common factor of 785,300, 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 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 785,300 is 5.

Lets's calculate GCF of 785,300

Greatest Common Factor (GCF) of 785,300 By Common Division

5 785, 300
157, 60

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

Greatest Common Factor of 785,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,300 By Matching Biggest Common Factor Method

Now, list down the factors of 785

:

1,5,157,785

Now, list down the factors of 300

:

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 785,300 . The biggest common factor number is the GCF number.
So the greatest common factor 785,300 is 5.

Lets's calculate LCM of 13,2499

Lowest Common Multiple of 13,2499 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32487

Therefore, the GCF of Fractions 785/13,300/2499 is 5/32487

Least Common Multiple of 13,2499 with GCF Formula

Least Common Multiple of 13,2499 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 13,2499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,2499) = 1

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

GCF(13,2499) x common factors =1 x 1 = 1

LCM(13,2499) = ( 13 × 2499 ) / 1

LCM(13,2499) = 32487 / 1

LCM(13,2499) = 32487


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FAQs on GCF of Fractions of 785/13, 300/2499

1. What is the HCF of 785,300?

The HCF of 785,300 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 785/13, 300/2499?

Answer: GCF of Numerators as per given numbers 785/13, 300/2499 is

GCF of Numerators i.e. for 785,300 is 5

LCM of denominators i.e. for 13,2499 is 32487.

Thus, GCF of Fractions is 5/32487.Finally, GCF of Fractions for 785/13, 300/2499 is 5/32487.