How to Find GCF of 6968/791, 7701/1095?

GCF of 6968/791, 7701/1095

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 6968/791, 7701/1095 i.e 1/866145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6968/791, 7701/1095.

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 6968/791,7701/1095?

Given fractions are 6968/791,7701/1095

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 6968/791,7701/1095, numerators are 6968,7701

Denominators are 791,1095

The GCF of 6968,7701 is 1 .

LCM of 791,1095 is 866145.

The greatest common factor of 6968/791,7701/1095 = [GCF of 6968,7701]/[LCM of 791,1095]= 1/866145

Therefore, the GCF of 6968/791,7701/1095 is 1/866145.

Greatest Common Factor of 6968,7701

To find the highest common factor of 6968,7701, we have to find the factors of both numbers and list the highest common factor.

The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968

The factors of 7701 are 1, 3, 17, 51, 151, 453, 2567, 7701

The HCF of 6968,7701 is 1.

Lets's calculate GCF of 6968,7701

Greatest Common Factor (GCF) of 6968,7701 By Common Division

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

Greatest Common Factor of 6968,7701 By Matching Biggest Common Factor Method

Now, list down the factors of 6968

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Now, list down the factors of 7701

1,3,17,51,151,453,2567,7701

Greatest Common Factor

We found the factors 6968,7701 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,7701 is 1.

Lets's calculate LCM of 791,1095

Lowest Common Multiple of 791,1095 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 866145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/866145

Therefore, the GCF of Fractions 6968/791,7701/1095 is 1/866145

Least Common Multiple of 791,1095 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 791,1095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,1095) = 1

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

GCF(791,1095) x common factors =1 x 1 = 1

LCM(791,1095) = ( 791 × 1095 ) / 1

LCM(791,1095) = 866145 / 1

LCM(791,1095) = 866145

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FAQs on GCF of Fractions of 6968/791, 7701/1095

1. What is the HCF of 6968,7701?

The HCF of 6968,7701 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 6968/791, 7701/1095?

Answer: GCF of Numerators as per given numbers 6968/791, 7701/1095 is

GCF of Numerators i.e. for 6968,7701 is 1

LCM of denominators i.e. for 791,1095 is 866145.

Thus, GCF of Fractions is 1/866145.Finally, GCF of Fractions for 6968/791, 7701/1095 is 1/866145.