How to Find GCF of 837/986, 920/666?

GCF of 837/986, 920/666

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 837/986, 920/666 i.e 1/328338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/986, 920/666.

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 837/986,920/666?

Given fractions are 837/986,920/666

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 837/986,920/666, numerators are 837,920

Denominators are 986,666

The GCF of 837,920 is 1 .

LCM of 986,666 is 328338.

The greatest common factor of 837/986,920/666 = [GCF of 837,920]/[LCM of 986,666]= 1/328338

Therefore, the GCF of 837/986,920/666 is 1/328338.

Greatest Common Factor of 837,920

To find the highest common factor of 837,920, we have to find the factors of both numbers and list the highest common factor.

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The HCF of 837,920 is 1.

Lets's calculate GCF of 837,920

Greatest Common Factor (GCF) of 837,920 By Common Division

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

Greatest Common Factor of 837,920 By Matching Biggest Common Factor Method

Now, list down the factors of 837

1,3,9,27,31,93,279,837

Now, list down the factors of 920

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 837,920 . The biggest common factor number is the GCF number.
So the greatest common factor 837,920 is 1.

Lets's calculate LCM of 986,666

Lowest Common Multiple of 986,666 using Common Division

2	986, 666
	493, 333

∴ So the LCM of the given numbers is 2 x 493 x 333 = 328338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328338

Therefore, the GCF of Fractions 837/986,920/666 is 1/328338

Least Common Multiple of 986,666 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 986,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,666) = 2

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

GCF(986,666) x common factors =2 x 1 = 2

LCM(986,666) = ( 986 × 666 ) / 2

LCM(986,666) = 656676 / 2

LCM(986,666) = 328338

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FAQs on GCF of Fractions of 837/986, 920/666

1. What is the HCF of 837,920?

The HCF of 837,920 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 837/986, 920/666?

Answer: GCF of Numerators as per given numbers 837/986, 920/666 is

GCF of Numerators i.e. for 837,920 is 1

LCM of denominators i.e. for 986,666 is 328338.

Thus, GCF of Fractions is 1/328338.Finally, GCF of Fractions for 837/986, 920/666 is 1/328338.