How to Find GCF of 846/140, 969/851?

GCF of 846/140, 969/851

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 846/140, 969/851 i.e 3/119140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/140, 969/851.

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 846/140,969/851?

Given fractions are 846/140,969/851

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 846/140,969/851, numerators are 846,969

Denominators are 140,851

The GCF of 846,969 is 3 .

LCM of 140,851 is 119140.

The greatest common factor of 846/140,969/851 = [GCF of 846,969]/[LCM of 140,851]= 3/119140

Therefore, the GCF of 846/140,969/851 is 3/119140.

Greatest Common Factor of 846,969

To find the highest common factor of 846,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 846,969 is 3.

Lets's calculate GCF of 846,969

Greatest Common Factor (GCF) of 846,969 By Common Division

3	846, 969
	282, 323

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 846,969 By Matching Biggest Common Factor Method

Now, list down the factors of 846

1,2,3,6,9,18,47,94,141,282,423,846

Now, list down the factors of 969

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 846,969 . The biggest common factor number is the GCF number.
So the greatest common factor 846,969 is 3.

Lets's calculate LCM of 140,851

Lowest Common Multiple of 140,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 119140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119140

Therefore, the GCF of Fractions 846/140,969/851 is 3/119140

Least Common Multiple of 140,851 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 140,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,851) = 1

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

GCF(140,851) x common factors =1 x 1 = 1

LCM(140,851) = ( 140 × 851 ) / 1

LCM(140,851) = 119140 / 1

LCM(140,851) = 119140

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FAQs on GCF of Fractions of 846/140, 969/851

1. What is the HCF of 846,969?

The HCF of 846,969 is 3

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 846/140, 969/851?

Answer: GCF of Numerators as per given numbers 846/140, 969/851 is

GCF of Numerators i.e. for 846,969 is 3

LCM of denominators i.e. for 140,851 is 119140.

Thus, GCF of Fractions is 3/119140.Finally, GCF of Fractions for 846/140, 969/851 is 3/119140.