How to Find GCF of 4667/962, 8502/5168?

GCF of 4667/962, 8502/5168

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 4667/962, 8502/5168 i.e 13/2485808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4667/962, 8502/5168.

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 4667/962,8502/5168?

Given fractions are 4667/962,8502/5168

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 4667/962,8502/5168, numerators are 4667,8502

Denominators are 962,5168

The GCF of 4667,8502 is 13 .

LCM of 962,5168 is 2485808.

The greatest common factor of 4667/962,8502/5168 = [GCF of 4667,8502]/[LCM of 962,5168]= 13/2485808

Therefore, the GCF of 4667/962,8502/5168 is 13/2485808.

Greatest Common Factor of 4667,8502

To find the highest common factor of 4667,8502, we have to find the factors of both numbers and list the highest common factor.

The factors of 4667 are 1, 13, 359, 4667

The factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502

The HCF of 4667,8502 is 13.

Lets's calculate GCF of 4667,8502

Greatest Common Factor (GCF) of 4667,8502 By Common Division

13	4667, 8502
	359, 654

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4667,8502 By Matching Biggest Common Factor Method

Now, list down the factors of 4667

1,13,359,4667

Now, list down the factors of 8502

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Greatest Common Factor

We found the factors 4667,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,8502 is 13.

Lets's calculate LCM of 962,5168

Lowest Common Multiple of 962,5168 using Common Division

2	962, 5168
	481, 2584

∴ So the LCM of the given numbers is 2 x 481 x 2584 = 2485808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2485808

Therefore, the GCF of Fractions 4667/962,8502/5168 is 13/2485808

Least Common Multiple of 962,5168 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 962,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,5168) = 2

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

GCF(962,5168) x common factors =2 x 1 = 2

LCM(962,5168) = ( 962 × 5168 ) / 2

LCM(962,5168) = 4971616 / 2

LCM(962,5168) = 2485808

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4667/962, 8502/5168

1. What is the HCF of 4667,8502?

The HCF of 4667,8502 is 13

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 4667/962, 8502/5168?

Answer: GCF of Numerators as per given numbers 4667/962, 8502/5168 is

GCF of Numerators i.e. for 4667,8502 is 13

LCM of denominators i.e. for 962,5168 is 2485808.

Thus, GCF of Fractions is 13/2485808.Finally, GCF of Fractions for 4667/962, 8502/5168 is 13/2485808.