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GCF of 869/294, 796/109

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 869/294, 796/109 i.e 1/32046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/294, 796/109.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 869/294,796/109?

Given fractions are 869/294,796/109

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 869/294,796/109, numerators are 869,796

Denominators are 294,109

The GCF of 869,796 is 1 .

LCM of 294,109 is 32046.

The greatest common factor of 869/294,796/109 = [GCF of 869,796]/[LCM of 294,109]= 1/32046

Therefore, the GCF of 869/294,796/109 is 1/32046.

Greatest Common Factor of 869,796

To find the highest common factor of 869,796, we have to find the factors of both numbers and list the highest common factor.

The factors of 869 are 1, 11, 79, 869

The factors of 796 are 1, 2, 4, 199, 398, 796

The HCF of 869,796 is 1.

Lets's calculate GCF of 869,796

Greatest Common Factor (GCF) of 869,796 By Common Division

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

Greatest Common Factor of 869,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,796 By Matching Biggest Common Factor Method

Now, list down the factors of 869

:

1,11,79,869

Now, list down the factors of 796

:

1,2,4,199,398,796

Greatest Common Factor

We found the factors 869,796 . The biggest common factor number is the GCF number.
So the greatest common factor 869,796 is 1.

Lets's calculate LCM of 294,109

Lowest Common Multiple of 294,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32046

Therefore, the GCF of Fractions 869/294,796/109 is 1/32046

Least Common Multiple of 294,109 with GCF Formula

Least Common Multiple of 294,109 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 294,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,109) = 1

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

GCF(294,109) x common factors =1 x 1 = 1

LCM(294,109) = ( 294 × 109 ) / 1

LCM(294,109) = 32046 / 1

LCM(294,109) = 32046


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FAQs on GCF of Fractions of 869/294, 796/109

1. What is the HCF of 869,796?

The HCF of 869,796 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 869/294, 796/109?

Answer: GCF of Numerators as per given numbers 869/294, 796/109 is

GCF of Numerators i.e. for 869,796 is 1

LCM of denominators i.e. for 294,109 is 32046.

Thus, GCF of Fractions is 1/32046.Finally, GCF of Fractions for 869/294, 796/109 is 1/32046.