How to Find GCF of 918/84, 854/778?

GCF of 918/84, 854/778

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 918/84, 854/778 i.e 2/32676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/84, 854/778.

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 918/84,854/778?

Given fractions are 918/84,854/778

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 918/84,854/778, numerators are 918,854

Denominators are 84,778

The GCF of 918,854 is 2 .

LCM of 84,778 is 32676.

The greatest common factor of 918/84,854/778 = [GCF of 918,854]/[LCM of 84,778]= 2/32676

Therefore, the GCF of 918/84,854/778 is 2/32676.

Greatest Common Factor of 918,854

To find the highest common factor of 918,854, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854

The HCF of 918,854 is 2.

Lets's calculate GCF of 918,854

Greatest Common Factor (GCF) of 918,854 By Common Division

2	918, 854
	459, 427

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 918,854 By Matching Biggest Common Factor Method

Now, list down the factors of 918

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 854

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 918,854 . The biggest common factor number is the GCF number.
So the greatest common factor 918,854 is 2.

Lets's calculate LCM of 84,778

Lowest Common Multiple of 84,778 using Common Division

2	84, 778
	42, 389

∴ So the LCM of the given numbers is 2 x 42 x 389 = 32676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32676

Therefore, the GCF of Fractions 918/84,854/778 is 2/32676

Least Common Multiple of 84,778 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 84,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,778) = 2

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

GCF(84,778) x common factors =2 x 1 = 2

LCM(84,778) = ( 84 × 778 ) / 2

LCM(84,778) = 65352 / 2

LCM(84,778) = 32676

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FAQs on GCF of Fractions of 918/84, 854/778

1. What is the HCF of 918,854?

The HCF of 918,854 is 2

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 918/84, 854/778?

Answer: GCF of Numerators as per given numbers 918/84, 854/778 is

GCF of Numerators i.e. for 918,854 is 2

LCM of denominators i.e. for 84,778 is 32676.

Thus, GCF of Fractions is 2/32676.Finally, GCF of Fractions for 918/84, 854/778 is 2/32676.