How to Find GCF of 6961/357, 5419/808?

GCF of 6961/357, 5419/808

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 6961/357, 5419/808 i.e 1/288456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6961/357, 5419/808.

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 6961/357,5419/808?

Given fractions are 6961/357,5419/808

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 6961/357,5419/808, numerators are 6961,5419

Denominators are 357,808

The GCF of 6961,5419 is 1 .

LCM of 357,808 is 288456.

The greatest common factor of 6961/357,5419/808 = [GCF of 6961,5419]/[LCM of 357,808]= 1/288456

Therefore, the GCF of 6961/357,5419/808 is 1/288456.

Greatest Common Factor of 6961,5419

To find the highest common factor of 6961,5419, we have to find the factors of both numbers and list the highest common factor.

The factors of 6961 are 1, 6961

The factors of 5419 are 1, 5419

The HCF of 6961,5419 is 1.

Lets's calculate GCF of 6961,5419

Greatest Common Factor (GCF) of 6961,5419 By Common Division

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

Greatest Common Factor of 6961,5419 By Matching Biggest Common Factor Method

Now, list down the factors of 6961

1,6961

Now, list down the factors of 5419

1,5419

Greatest Common Factor

We found the factors 6961,5419 . The biggest common factor number is the GCF number.
So the greatest common factor 6961,5419 is 1.

Lets's calculate LCM of 357,808

Lowest Common Multiple of 357,808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288456

Therefore, the GCF of Fractions 6961/357,5419/808 is 1/288456

Least Common Multiple of 357,808 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 357,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,808) = 1

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

GCF(357,808) x common factors =1 x 1 = 1

LCM(357,808) = ( 357 × 808 ) / 1

LCM(357,808) = 288456 / 1

LCM(357,808) = 288456

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FAQs on GCF of Fractions of 6961/357, 5419/808

1. What is the HCF of 6961,5419?

The HCF of 6961,5419 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 6961/357, 5419/808?

Answer: GCF of Numerators as per given numbers 6961/357, 5419/808 is

GCF of Numerators i.e. for 6961,5419 is 1

LCM of denominators i.e. for 357,808 is 288456.

Thus, GCF of Fractions is 1/288456.Finally, GCF of Fractions for 6961/357, 5419/808 is 1/288456.