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GCF of 757/490, 906/756

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 757/490, 906/756 i.e 1/26460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/490, 906/756.

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 757/490,906/756?

Given fractions are 757/490,906/756

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 757/490,906/756, numerators are 757,906

Denominators are 490,756

The GCF of 757,906 is 1 .

LCM of 490,756 is 26460.

The greatest common factor of 757/490,906/756 = [GCF of 757,906]/[LCM of 490,756]= 1/26460

Therefore, the GCF of 757/490,906/756 is 1/26460.

Greatest Common Factor of 757,906

To find the highest common factor of 757,906, we have to find the factors of both numbers and list the highest common factor.

The factors of 757 are 1, 757

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The HCF of 757,906 is 1.

Lets's calculate GCF of 757,906

Greatest Common Factor (GCF) of 757,906 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 757,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,906 By Matching Biggest Common Factor Method

Now, list down the factors of 757

:

1,757

Now, list down the factors of 906

:

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 757,906 . The biggest common factor number is the GCF number.
So the greatest common factor 757,906 is 1.

Lets's calculate LCM of 490,756

Lowest Common Multiple of 490,756 using Common Division

2 490, 756
7 245, 378
35, 54

∴ So the LCM of the given numbers is 2 x 7 x 35 x 54 = 26460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26460

Therefore, the GCF of Fractions 757/490,906/756 is 1/26460

Least Common Multiple of 490,756 with GCF Formula

Least Common Multiple of 490,756 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 490,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,756) = 14

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

GCF(490,756) x common factors =14 x 1 = 14

LCM(490,756) = ( 490 × 756 ) / 14

LCM(490,756) = 370440 / 14

LCM(490,756) = 26460


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FAQs on GCF of Fractions of 757/490, 906/756

1. What is the HCF of 757,906?

The HCF of 757,906 is 1

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 757/490, 906/756?

Answer: GCF of Numerators as per given numbers 757/490, 906/756 is

GCF of Numerators i.e. for 757,906 is 1

LCM of denominators i.e. for 490,756 is 26460.

Thus, GCF of Fractions is 1/26460.Finally, GCF of Fractions for 757/490, 906/756 is 1/26460.