How to Find GCF of 5102/981, 1515/8585?

GCF of 5102/981, 1515/8585

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 5102/981, 1515/8585 i.e 1/8421885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5102/981, 1515/8585.

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 5102/981,1515/8585?

Given fractions are 5102/981,1515/8585

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 5102/981,1515/8585, numerators are 5102,1515

Denominators are 981,8585

The GCF of 5102,1515 is 1 .

LCM of 981,8585 is 8421885.

The greatest common factor of 5102/981,1515/8585 = [GCF of 5102,1515]/[LCM of 981,8585]= 1/8421885

Therefore, the GCF of 5102/981,1515/8585 is 1/8421885.

Greatest Common Factor of 5102,1515

To find the highest common factor of 5102,1515, we have to find the factors of both numbers and list the highest common factor.

The factors of 5102 are 1, 2, 2551, 5102

The factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515

The HCF of 5102,1515 is 1.

Lets's calculate GCF of 5102,1515

Greatest Common Factor (GCF) of 5102,1515 By Common Division

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

Greatest Common Factor of 5102,1515 By Matching Biggest Common Factor Method

Now, list down the factors of 5102

1,2,2551,5102

Now, list down the factors of 1515

1,3,5,15,101,303,505,1515

Greatest Common Factor

We found the factors 5102,1515 . The biggest common factor number is the GCF number.
So the greatest common factor 5102,1515 is 1.

Lets's calculate LCM of 981,8585

Lowest Common Multiple of 981,8585 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8421885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8421885

Therefore, the GCF of Fractions 5102/981,1515/8585 is 1/8421885

Least Common Multiple of 981,8585 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 981,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,8585) = 1

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

GCF(981,8585) x common factors =1 x 1 = 1

LCM(981,8585) = ( 981 × 8585 ) / 1

LCM(981,8585) = 8421885 / 1

LCM(981,8585) = 8421885

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5102/981, 1515/8585

1. What is the HCF of 5102,1515?

The HCF of 5102,1515 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 5102/981, 1515/8585?

Answer: GCF of Numerators as per given numbers 5102/981, 1515/8585 is

GCF of Numerators i.e. for 5102,1515 is 1

LCM of denominators i.e. for 981,8585 is 8421885.

Thus, GCF of Fractions is 1/8421885.Finally, GCF of Fractions for 5102/981, 1515/8585 is 1/8421885.