How to Find GCF of 8127/574, 7895/7621?

GCF of 8127/574, 7895/7621

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 8127/574, 7895/7621 i.e 1/4374454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8127/574, 7895/7621.

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 8127/574,7895/7621?

Given fractions are 8127/574,7895/7621

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 8127/574,7895/7621, numerators are 8127,7895

Denominators are 574,7621

The GCF of 8127,7895 is 1 .

LCM of 574,7621 is 4374454.

The greatest common factor of 8127/574,7895/7621 = [GCF of 8127,7895]/[LCM of 574,7621]= 1/4374454

Therefore, the GCF of 8127/574,7895/7621 is 1/4374454.

Greatest Common Factor of 8127,7895

To find the highest common factor of 8127,7895, we have to find the factors of both numbers and list the highest common factor.

The factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127

The factors of 7895 are 1, 5, 1579, 7895

The HCF of 8127,7895 is 1.

Lets's calculate GCF of 8127,7895

Greatest Common Factor (GCF) of 8127,7895 By Common Division

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

Greatest Common Factor of 8127,7895 By Matching Biggest Common Factor Method

Now, list down the factors of 8127

1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127

Now, list down the factors of 7895

1,5,1579,7895

Greatest Common Factor

We found the factors 8127,7895 . The biggest common factor number is the GCF number.
So the greatest common factor 8127,7895 is 1.

Lets's calculate LCM of 574,7621

Lowest Common Multiple of 574,7621 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4374454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4374454

Therefore, the GCF of Fractions 8127/574,7895/7621 is 1/4374454

Least Common Multiple of 574,7621 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 574,7621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,7621) = 1

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

GCF(574,7621) x common factors =1 x 1 = 1

LCM(574,7621) = ( 574 × 7621 ) / 1

LCM(574,7621) = 4374454 / 1

LCM(574,7621) = 4374454

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FAQs on GCF of Fractions of 8127/574, 7895/7621

1. What is the HCF of 8127,7895?

The HCF of 8127,7895 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 8127/574, 7895/7621?

Answer: GCF of Numerators as per given numbers 8127/574, 7895/7621 is

GCF of Numerators i.e. for 8127,7895 is 1

LCM of denominators i.e. for 574,7621 is 4374454.

Thus, GCF of Fractions is 1/4374454.Finally, GCF of Fractions for 8127/574, 7895/7621 is 1/4374454.