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GCF of 52/650, 1756/9191

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 52/650, 1756/9191 i.e 4/459550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/650, 1756/9191.

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 52/650,1756/9191?

Given fractions are 52/650,1756/9191

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 52/650,1756/9191, numerators are 52,1756

Denominators are 650,9191

The GCF of 52,1756 is 4 .

LCM of 650,9191 is 459550.

The greatest common factor of 52/650,1756/9191 = [GCF of 52,1756]/[LCM of 650,9191]= 4/459550

Therefore, the GCF of 52/650,1756/9191 is 4/459550.

Greatest Common Factor of 52,1756

To find the highest common factor of 52,1756, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 1756 are 1, 2, 4, 439, 878, 1756

The HCF of 52,1756 is 4.

Lets's calculate GCF of 52,1756

Greatest Common Factor (GCF) of 52,1756 By Common Division

2 52, 1756
2 26, 878
13, 439

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 52,1756 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,1756 By Matching Biggest Common Factor Method

Now, list down the factors of 52

:

1,2,4,13,26,52

Now, list down the factors of 1756

:

1,2,4,439,878,1756

Greatest Common Factor

We found the factors 52,1756 . The biggest common factor number is the GCF number.
So the greatest common factor 52,1756 is 4.

Lets's calculate LCM of 650,9191

Lowest Common Multiple of 650,9191 using Common Division

13 650, 9191
50, 707

∴ So the LCM of the given numbers is 13 x 50 x 707 = 459550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/459550

Therefore, the GCF of Fractions 52/650,1756/9191 is 4/459550

Least Common Multiple of 650,9191 with GCF Formula

Least Common Multiple of 650,9191 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 650,9191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,9191) = 13

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

GCF(650,9191) x common factors =13 x 1 = 13

LCM(650,9191) = ( 650 × 9191 ) / 13

LCM(650,9191) = 5974150 / 13

LCM(650,9191) = 459550


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FAQs on GCF of Fractions of 52/650, 1756/9191

1. What is the HCF of 52,1756?

The HCF of 52,1756 is 4

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 52/650, 1756/9191?

Answer: GCF of Numerators as per given numbers 52/650, 1756/9191 is

GCF of Numerators i.e. for 52,1756 is 4

LCM of denominators i.e. for 650,9191 is 459550.

Thus, GCF of Fractions is 4/459550.Finally, GCF of Fractions for 52/650, 1756/9191 is 4/459550.