How to Find GCF of 5186/650, 4957/2052?

GCF of 5186/650, 4957/2052

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 5186/650, 4957/2052 i.e 1/666900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5186/650, 4957/2052.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5186/650,4957/2052?

Given fractions are 5186/650,4957/2052

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 5186/650,4957/2052, numerators are 5186,4957

Denominators are 650,2052

The GCF of 5186,4957 is 1 .

LCM of 650,2052 is 666900.

The greatest common factor of 5186/650,4957/2052 = [GCF of 5186,4957]/[LCM of 650,2052]= 1/666900

Therefore, the GCF of 5186/650,4957/2052 is 1/666900.

Greatest Common Factor of 5186,4957

To find the highest common factor of 5186,4957, we have to find the factors of both numbers and list the highest common factor.

The factors of 5186 are 1, 2, 2593, 5186

The factors of 4957 are 1, 4957

The HCF of 5186,4957 is 1.

Lets's calculate GCF of 5186,4957

Greatest Common Factor (GCF) of 5186,4957 By Common Division

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

Greatest Common Factor of 5186,4957 By Matching Biggest Common Factor Method

Now, list down the factors of 5186

1,2,2593,5186

Now, list down the factors of 4957

1,4957

Greatest Common Factor

We found the factors 5186,4957 . The biggest common factor number is the GCF number.
So the greatest common factor 5186,4957 is 1.

Lets's calculate LCM of 650,2052

Lowest Common Multiple of 650,2052 using Common Division

2	650, 2052
	325, 1026

∴ So the LCM of the given numbers is 2 x 325 x 1026 = 666900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/666900

Therefore, the GCF of Fractions 5186/650,4957/2052 is 1/666900

Least Common Multiple of 650,2052 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 650,2052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,2052) = 2

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

GCF(650,2052) x common factors =2 x 1 = 2

LCM(650,2052) = ( 650 × 2052 ) / 2

LCM(650,2052) = 1333800 / 2

LCM(650,2052) = 666900

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FAQs on GCF of Fractions of 5186/650, 4957/2052

1. What is the HCF of 5186,4957?

The HCF of 5186,4957 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 5186/650, 4957/2052?

Answer: GCF of Numerators as per given numbers 5186/650, 4957/2052 is

GCF of Numerators i.e. for 5186,4957 is 1

LCM of denominators i.e. for 650,2052 is 666900.

Thus, GCF of Fractions is 1/666900.Finally, GCF of Fractions for 5186/650, 4957/2052 is 1/666900.