How to Find GCF of 8980/910, 3127/8972?

GCF of 8980/910, 3127/8972

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 8980/910, 3127/8972 i.e 1/4082260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8980/910, 3127/8972.

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 8980/910,3127/8972?

Given fractions are 8980/910,3127/8972

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 8980/910,3127/8972, numerators are 8980,3127

Denominators are 910,8972

The GCF of 8980,3127 is 1 .

LCM of 910,8972 is 4082260.

The greatest common factor of 8980/910,3127/8972 = [GCF of 8980,3127]/[LCM of 910,8972]= 1/4082260

Therefore, the GCF of 8980/910,3127/8972 is 1/4082260.

Greatest Common Factor of 8980,3127

To find the highest common factor of 8980,3127, we have to find the factors of both numbers and list the highest common factor.

The factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980

The factors of 3127 are 1, 53, 59, 3127

The HCF of 8980,3127 is 1.

Lets's calculate GCF of 8980,3127

Greatest Common Factor (GCF) of 8980,3127 By Common Division

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

Greatest Common Factor of 8980,3127 By Matching Biggest Common Factor Method

Now, list down the factors of 8980

1,2,4,5,10,20,449,898,1796,2245,4490,8980

Now, list down the factors of 3127

1,53,59,3127

Greatest Common Factor

We found the factors 8980,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 8980,3127 is 1.

Lets's calculate LCM of 910,8972

Lowest Common Multiple of 910,8972 using Common Division

2	910, 8972
	455, 4486

∴ So the LCM of the given numbers is 2 x 455 x 4486 = 4082260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4082260

Therefore, the GCF of Fractions 8980/910,3127/8972 is 1/4082260

Least Common Multiple of 910,8972 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 910,8972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,8972) = 2

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

GCF(910,8972) x common factors =2 x 1 = 2

LCM(910,8972) = ( 910 × 8972 ) / 2

LCM(910,8972) = 8164520 / 2

LCM(910,8972) = 4082260

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FAQs on GCF of Fractions of 8980/910, 3127/8972

1. What is the HCF of 8980,3127?

The HCF of 8980,3127 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 8980/910, 3127/8972?

Answer: GCF of Numerators as per given numbers 8980/910, 3127/8972 is

GCF of Numerators i.e. for 8980,3127 is 1

LCM of denominators i.e. for 910,8972 is 4082260.

Thus, GCF of Fractions is 1/4082260.Finally, GCF of Fractions for 8980/910, 3127/8972 is 1/4082260.