How to Find GCF of 1917/296, 7901/5971?

GCF of 1917/296, 7901/5971

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 1917/296, 7901/5971 i.e 1/1767416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1917/296, 7901/5971.

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 1917/296,7901/5971?

Given fractions are 1917/296,7901/5971

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 1917/296,7901/5971, numerators are 1917,7901

Denominators are 296,5971

The GCF of 1917,7901 is 1 .

LCM of 296,5971 is 1767416.

The greatest common factor of 1917/296,7901/5971 = [GCF of 1917,7901]/[LCM of 296,5971]= 1/1767416

Therefore, the GCF of 1917/296,7901/5971 is 1/1767416.

Greatest Common Factor of 1917,7901

To find the highest common factor of 1917,7901, we have to find the factors of both numbers and list the highest common factor.

The factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917

The factors of 7901 are 1, 7901

The HCF of 1917,7901 is 1.

Lets's calculate GCF of 1917,7901

Greatest Common Factor (GCF) of 1917,7901 By Common Division

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

Greatest Common Factor of 1917,7901 By Matching Biggest Common Factor Method

Now, list down the factors of 1917

1,3,9,27,71,213,639,1917

Now, list down the factors of 7901

1,7901

Greatest Common Factor

We found the factors 1917,7901 . The biggest common factor number is the GCF number.
So the greatest common factor 1917,7901 is 1.

Lets's calculate LCM of 296,5971

Lowest Common Multiple of 296,5971 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1767416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1767416

Therefore, the GCF of Fractions 1917/296,7901/5971 is 1/1767416

Least Common Multiple of 296,5971 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 296,5971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,5971) = 1

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

GCF(296,5971) x common factors =1 x 1 = 1

LCM(296,5971) = ( 296 × 5971 ) / 1

LCM(296,5971) = 1767416 / 1

LCM(296,5971) = 1767416

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FAQs on GCF of Fractions of 1917/296, 7901/5971

1. What is the HCF of 1917,7901?

The HCF of 1917,7901 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 1917/296, 7901/5971?

Answer: GCF of Numerators as per given numbers 1917/296, 7901/5971 is

GCF of Numerators i.e. for 1917,7901 is 1

LCM of denominators i.e. for 296,5971 is 1767416.

Thus, GCF of Fractions is 1/1767416.Finally, GCF of Fractions for 1917/296, 7901/5971 is 1/1767416.