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GCF of 766/13, 598/9736

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 766/13, 598/9736 i.e 2/126568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/13, 598/9736.

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 766/13,598/9736?

Given fractions are 766/13,598/9736

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 766/13,598/9736, numerators are 766,598

Denominators are 13,9736

The GCF of 766,598 is 2 .

LCM of 13,9736 is 126568.

The greatest common factor of 766/13,598/9736 = [GCF of 766,598]/[LCM of 13,9736]= 2/126568

Therefore, the GCF of 766/13,598/9736 is 2/126568.

Greatest Common Factor of 766,598

To find the highest common factor of 766,598, we have to find the factors of both numbers and list the highest common factor.

The factors of 766 are 1, 2, 383, 766

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The HCF of 766,598 is 2.

Lets's calculate GCF of 766,598

Greatest Common Factor (GCF) of 766,598 By Common Division

2 766, 598
383, 299

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 766,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,598 By Matching Biggest Common Factor Method

Now, list down the factors of 766

:

1,2,383,766

Now, list down the factors of 598

:

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 766,598 . The biggest common factor number is the GCF number.
So the greatest common factor 766,598 is 2.

Lets's calculate LCM of 13,9736

Lowest Common Multiple of 13,9736 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 126568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126568

Therefore, the GCF of Fractions 766/13,598/9736 is 2/126568

Least Common Multiple of 13,9736 with GCF Formula

Least Common Multiple of 13,9736 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 13,9736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,9736) = 1

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

GCF(13,9736) x common factors =1 x 1 = 1

LCM(13,9736) = ( 13 × 9736 ) / 1

LCM(13,9736) = 126568 / 1

LCM(13,9736) = 126568


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FAQs on GCF of Fractions of 766/13, 598/9736

1. What is the HCF of 766,598?

The HCF of 766,598 is 2

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 766/13, 598/9736?

Answer: GCF of Numerators as per given numbers 766/13, 598/9736 is

GCF of Numerators i.e. for 766,598 is 2

LCM of denominators i.e. for 13,9736 is 126568.

Thus, GCF of Fractions is 2/126568.Finally, GCF of Fractions for 766/13, 598/9736 is 2/126568.