How to Find GCF of 5101/268, 8435/9680?

GCF of 5101/268, 8435/9680

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 5101/268, 8435/9680 i.e 1/648560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5101/268, 8435/9680.

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 5101/268,8435/9680?

Given fractions are 5101/268,8435/9680

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 5101/268,8435/9680, numerators are 5101,8435

Denominators are 268,9680

The GCF of 5101,8435 is 1 .

LCM of 268,9680 is 648560.

The greatest common factor of 5101/268,8435/9680 = [GCF of 5101,8435]/[LCM of 268,9680]= 1/648560

Therefore, the GCF of 5101/268,8435/9680 is 1/648560.

Greatest Common Factor of 5101,8435

To find the highest common factor of 5101,8435, we have to find the factors of both numbers and list the highest common factor.

The factors of 5101 are 1, 5101

The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435

The HCF of 5101,8435 is 1.

Lets's calculate GCF of 5101,8435

Greatest Common Factor (GCF) of 5101,8435 By Common Division

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

Greatest Common Factor of 5101,8435 By Matching Biggest Common Factor Method

Now, list down the factors of 5101

1,5101

Now, list down the factors of 8435

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 5101,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 5101,8435 is 1.

Lets's calculate LCM of 268,9680

Lowest Common Multiple of 268,9680 using Common Division

2	268, 9680
2	134, 4840
	67, 2420

∴ So the LCM of the given numbers is 2 x 2 x 67 x 2420 = 648560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648560

Therefore, the GCF of Fractions 5101/268,8435/9680 is 1/648560

Least Common Multiple of 268,9680 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 268,9680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,9680) = 4

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

GCF(268,9680) x common factors =4 x 1 = 4

LCM(268,9680) = ( 268 × 9680 ) / 4

LCM(268,9680) = 2594240 / 4

LCM(268,9680) = 648560

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FAQs on GCF of Fractions of 5101/268, 8435/9680

1. What is the HCF of 5101,8435?

The HCF of 5101,8435 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 5101/268, 8435/9680?

Answer: GCF of Numerators as per given numbers 5101/268, 8435/9680 is

GCF of Numerators i.e. for 5101,8435 is 1

LCM of denominators i.e. for 268,9680 is 648560.

Thus, GCF of Fractions is 1/648560.Finally, GCF of Fractions for 5101/268, 8435/9680 is 1/648560.