How to Find GCF of 7127/253, 6015/1477?

GCF of 7127/253, 6015/1477

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 7127/253, 6015/1477 i.e 1/373681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7127/253, 6015/1477.

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 7127/253,6015/1477?

Given fractions are 7127/253,6015/1477

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 7127/253,6015/1477, numerators are 7127,6015

Denominators are 253,1477

The GCF of 7127,6015 is 1 .

LCM of 253,1477 is 373681.

The greatest common factor of 7127/253,6015/1477 = [GCF of 7127,6015]/[LCM of 253,1477]= 1/373681

Therefore, the GCF of 7127/253,6015/1477 is 1/373681.

Greatest Common Factor of 7127,6015

To find the highest common factor of 7127,6015, we have to find the factors of both numbers and list the highest common factor.

The factors of 7127 are 1, 7127

The factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015

The HCF of 7127,6015 is 1.

Lets's calculate GCF of 7127,6015

Greatest Common Factor (GCF) of 7127,6015 By Common Division

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

Greatest Common Factor of 7127,6015 By Matching Biggest Common Factor Method

Now, list down the factors of 7127

1,7127

Now, list down the factors of 6015

1,3,5,15,401,1203,2005,6015

Greatest Common Factor

We found the factors 7127,6015 . The biggest common factor number is the GCF number.
So the greatest common factor 7127,6015 is 1.

Lets's calculate LCM of 253,1477

Lowest Common Multiple of 253,1477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 373681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373681

Therefore, the GCF of Fractions 7127/253,6015/1477 is 1/373681

Least Common Multiple of 253,1477 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 253,1477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,1477) = 1

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

GCF(253,1477) x common factors =1 x 1 = 1

LCM(253,1477) = ( 253 × 1477 ) / 1

LCM(253,1477) = 373681 / 1

LCM(253,1477) = 373681

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FAQs on GCF of Fractions of 7127/253, 6015/1477

1. What is the HCF of 7127,6015?

The HCF of 7127,6015 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 7127/253, 6015/1477?

Answer: GCF of Numerators as per given numbers 7127/253, 6015/1477 is

GCF of Numerators i.e. for 7127,6015 is 1

LCM of denominators i.e. for 253,1477 is 373681.

Thus, GCF of Fractions is 1/373681.Finally, GCF of Fractions for 7127/253, 6015/1477 is 1/373681.