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GCF of 766/527, 1738/749

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 766/527, 1738/749 i.e 2/394723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/527, 1738/749.

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 766/527,1738/749?

Given fractions are 766/527,1738/749

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 766/527,1738/749, numerators are 766,1738

Denominators are 527,749

The GCF of 766,1738 is 2 .

LCM of 527,749 is 394723.

The greatest common factor of 766/527,1738/749 = [GCF of 766,1738]/[LCM of 527,749]= 2/394723

Therefore, the GCF of 766/527,1738/749 is 2/394723.

Greatest Common Factor of 766,1738

To find the highest common factor of 766,1738, 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 1738 are 1, 2, 11, 22, 79, 158, 869, 1738

The HCF of 766,1738 is 2.

Lets's calculate GCF of 766,1738

Greatest Common Factor (GCF) of 766,1738 By Common Division

2 766, 1738
383, 869

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

Greatest Common Factor of 766,1738 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,1738 By Matching Biggest Common Factor Method

Now, list down the factors of 766

:

1,2,383,766

Now, list down the factors of 1738

:

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 766,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 766,1738 is 2.

Lets's calculate LCM of 527,749

Lowest Common Multiple of 527,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 394723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/394723

Therefore, the GCF of Fractions 766/527,1738/749 is 2/394723

Least Common Multiple of 527,749 with GCF Formula

Least Common Multiple of 527,749 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 527,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,749) = 1

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

GCF(527,749) x common factors =1 x 1 = 1

LCM(527,749) = ( 527 × 749 ) / 1

LCM(527,749) = 394723 / 1

LCM(527,749) = 394723


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FAQs on GCF of Fractions of 766/527, 1738/749

1. What is the HCF of 766,1738?

The HCF of 766,1738 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 766/527, 1738/749?

Answer: GCF of Numerators as per given numbers 766/527, 1738/749 is

GCF of Numerators i.e. for 766,1738 is 2

LCM of denominators i.e. for 527,749 is 394723.

Thus, GCF of Fractions is 2/394723.Finally, GCF of Fractions for 766/527, 1738/749 is 2/394723.