How to Find GCF of 8015/277, 4101/7688?

GCF of 8015/277, 4101/7688

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 8015/277, 4101/7688 i.e 1/2129576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8015/277, 4101/7688.

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 8015/277,4101/7688?

Given fractions are 8015/277,4101/7688

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 8015/277,4101/7688, numerators are 8015,4101

Denominators are 277,7688

The GCF of 8015,4101 is 1 .

LCM of 277,7688 is 2129576.

The greatest common factor of 8015/277,4101/7688 = [GCF of 8015,4101]/[LCM of 277,7688]= 1/2129576

Therefore, the GCF of 8015/277,4101/7688 is 1/2129576.

Greatest Common Factor of 8015,4101

To find the highest common factor of 8015,4101, we have to find the factors of both numbers and list the highest common factor.

The factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015

The factors of 4101 are 1, 3, 1367, 4101

The HCF of 8015,4101 is 1.

Lets's calculate GCF of 8015,4101

Greatest Common Factor (GCF) of 8015,4101 By Common Division

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

Greatest Common Factor of 8015,4101 By Matching Biggest Common Factor Method

Now, list down the factors of 8015

1,5,7,35,229,1145,1603,8015

Now, list down the factors of 4101

1,3,1367,4101

Greatest Common Factor

We found the factors 8015,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 8015,4101 is 1.

Lets's calculate LCM of 277,7688

Lowest Common Multiple of 277,7688 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2129576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2129576

Therefore, the GCF of Fractions 8015/277,4101/7688 is 1/2129576

Least Common Multiple of 277,7688 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 277,7688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,7688) = 1

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

GCF(277,7688) x common factors =1 x 1 = 1

LCM(277,7688) = ( 277 × 7688 ) / 1

LCM(277,7688) = 2129576 / 1

LCM(277,7688) = 2129576

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FAQs on GCF of Fractions of 8015/277, 4101/7688

1. What is the HCF of 8015,4101?

The HCF of 8015,4101 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 8015/277, 4101/7688?

Answer: GCF of Numerators as per given numbers 8015/277, 4101/7688 is

GCF of Numerators i.e. for 8015,4101 is 1

LCM of denominators i.e. for 277,7688 is 2129576.

Thus, GCF of Fractions is 1/2129576.Finally, GCF of Fractions for 8015/277, 4101/7688 is 1/2129576.