How to Find GCF of 869/844, 2442/840?

GCF of 869/844, 2442/840

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 869/844, 2442/840 i.e 11/177240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/844, 2442/840.

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 869/844,2442/840?

Given fractions are 869/844,2442/840

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 869/844,2442/840, numerators are 869,2442

Denominators are 844,840

The GCF of 869,2442 is 11 .

LCM of 844,840 is 177240.

The greatest common factor of 869/844,2442/840 = [GCF of 869,2442]/[LCM of 844,840]= 11/177240

Therefore, the GCF of 869/844,2442/840 is 11/177240.

Greatest Common Factor of 869,2442

To find the highest common factor of 869,2442, 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 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442

The HCF of 869,2442 is 11.

Lets's calculate GCF of 869,2442

Greatest Common Factor (GCF) of 869,2442 By Common Division

11	869, 2442
	79, 222

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 869,2442 By Matching Biggest Common Factor Method

Now, list down the factors of 869

1,11,79,869

Now, list down the factors of 2442

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors 869,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 869,2442 is 11.

Lets's calculate LCM of 844,840

Lowest Common Multiple of 844,840 using Common Division

2	844, 840
2	422, 420
	211, 210

∴ So the LCM of the given numbers is 2 x 2 x 211 x 210 = 177240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/177240

Therefore, the GCF of Fractions 869/844,2442/840 is 11/177240

Least Common Multiple of 844,840 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 844,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,840) = 4

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

GCF(844,840) x common factors =4 x 1 = 4

LCM(844,840) = ( 844 × 840 ) / 4

LCM(844,840) = 708960 / 4

LCM(844,840) = 177240

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FAQs on GCF of Fractions of 869/844, 2442/840

1. What is the HCF of 869,2442?

The HCF of 869,2442 is 11

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 869/844, 2442/840?

Answer: GCF of Numerators as per given numbers 869/844, 2442/840 is

GCF of Numerators i.e. for 869,2442 is 11

LCM of denominators i.e. for 844,840 is 177240.

Thus, GCF of Fractions is 11/177240.Finally, GCF of Fractions for 869/844, 2442/840 is 11/177240.