How to Find GCF of 5971/894, 6645/6910?

GCF of 5971/894, 6645/6910

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 5971/894, 6645/6910 i.e 1/3088770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5971/894, 6645/6910.

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 5971/894,6645/6910?

Given fractions are 5971/894,6645/6910

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 5971/894,6645/6910, numerators are 5971,6645

Denominators are 894,6910

The GCF of 5971,6645 is 1 .

LCM of 894,6910 is 3088770.

The greatest common factor of 5971/894,6645/6910 = [GCF of 5971,6645]/[LCM of 894,6910]= 1/3088770

Therefore, the GCF of 5971/894,6645/6910 is 1/3088770.

Greatest Common Factor of 5971,6645

To find the highest common factor of 5971,6645, we have to find the factors of both numbers and list the highest common factor.

The factors of 5971 are 1, 7, 853, 5971

The factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645

The HCF of 5971,6645 is 1.

Lets's calculate GCF of 5971,6645

Greatest Common Factor (GCF) of 5971,6645 By Common Division

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

Greatest Common Factor of 5971,6645 By Matching Biggest Common Factor Method

Now, list down the factors of 5971

1,7,853,5971

Now, list down the factors of 6645

1,3,5,15,443,1329,2215,6645

Greatest Common Factor

We found the factors 5971,6645 . The biggest common factor number is the GCF number.
So the greatest common factor 5971,6645 is 1.

Lets's calculate LCM of 894,6910

Lowest Common Multiple of 894,6910 using Common Division

2	894, 6910
	447, 3455

∴ So the LCM of the given numbers is 2 x 447 x 3455 = 3088770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3088770

Therefore, the GCF of Fractions 5971/894,6645/6910 is 1/3088770

Least Common Multiple of 894,6910 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 894,6910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,6910) = 2

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

GCF(894,6910) x common factors =2 x 1 = 2

LCM(894,6910) = ( 894 × 6910 ) / 2

LCM(894,6910) = 6177540 / 2

LCM(894,6910) = 3088770

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FAQs on GCF of Fractions of 5971/894, 6645/6910

1. What is the HCF of 5971,6645?

The HCF of 5971,6645 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 5971/894, 6645/6910?

Answer: GCF of Numerators as per given numbers 5971/894, 6645/6910 is

GCF of Numerators i.e. for 5971,6645 is 1

LCM of denominators i.e. for 894,6910 is 3088770.

Thus, GCF of Fractions is 1/3088770.Finally, GCF of Fractions for 5971/894, 6645/6910 is 1/3088770.