How to Find GCF of 4307/532, 1657/2152?

GCF of 4307/532, 1657/2152

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 4307/532, 1657/2152 i.e 1/286216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4307/532, 1657/2152.

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 4307/532,1657/2152?

Given fractions are 4307/532,1657/2152

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 4307/532,1657/2152, numerators are 4307,1657

Denominators are 532,2152

The GCF of 4307,1657 is 1 .

LCM of 532,2152 is 286216.

The greatest common factor of 4307/532,1657/2152 = [GCF of 4307,1657]/[LCM of 532,2152]= 1/286216

Therefore, the GCF of 4307/532,1657/2152 is 1/286216.

Greatest Common Factor of 4307,1657

To find the highest common factor of 4307,1657, we have to find the factors of both numbers and list the highest common factor.

The factors of 4307 are 1, 59, 73, 4307

The factors of 1657 are 1, 1657

The HCF of 4307,1657 is 1.

Lets's calculate GCF of 4307,1657

Greatest Common Factor (GCF) of 4307,1657 By Common Division

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

Greatest Common Factor of 4307,1657 By Matching Biggest Common Factor Method

Now, list down the factors of 4307

1,59,73,4307

Now, list down the factors of 1657

1,1657

Greatest Common Factor

We found the factors 4307,1657 . The biggest common factor number is the GCF number.
So the greatest common factor 4307,1657 is 1.

Lets's calculate LCM of 532,2152

Lowest Common Multiple of 532,2152 using Common Division

2	532, 2152
2	266, 1076
	133, 538

∴ So the LCM of the given numbers is 2 x 2 x 133 x 538 = 286216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286216

Therefore, the GCF of Fractions 4307/532,1657/2152 is 1/286216

Least Common Multiple of 532,2152 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 532,2152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,2152) = 4

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

GCF(532,2152) x common factors =4 x 1 = 4

LCM(532,2152) = ( 532 × 2152 ) / 4

LCM(532,2152) = 1144864 / 4

LCM(532,2152) = 286216

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FAQs on GCF of Fractions of 4307/532, 1657/2152

1. What is the HCF of 4307,1657?

The HCF of 4307,1657 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 4307/532, 1657/2152?

Answer: GCF of Numerators as per given numbers 4307/532, 1657/2152 is

GCF of Numerators i.e. for 4307,1657 is 1

LCM of denominators i.e. for 532,2152 is 286216.

Thus, GCF of Fractions is 1/286216.Finally, GCF of Fractions for 4307/532, 1657/2152 is 1/286216.