How to Find GCF of 1082/872, 9420/827?

GCF of 1082/872, 9420/827

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 1082/872, 9420/827 i.e 2/721144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/872, 9420/827.

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 1082/872,9420/827?

Given fractions are 1082/872,9420/827

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 1082/872,9420/827, numerators are 1082,9420

Denominators are 872,827

The GCF of 1082,9420 is 2 .

LCM of 872,827 is 721144.

The greatest common factor of 1082/872,9420/827 = [GCF of 1082,9420]/[LCM of 872,827]= 2/721144

Therefore, the GCF of 1082/872,9420/827 is 2/721144.

Greatest Common Factor of 1082,9420

To find the highest common factor of 1082,9420, we have to find the factors of both numbers and list the highest common factor.

The factors of 1082 are 1, 2, 541, 1082

The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420

The HCF of 1082,9420 is 2.

Lets's calculate GCF of 1082,9420

Greatest Common Factor (GCF) of 1082,9420 By Common Division

2	1082, 9420
	541, 4710

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

Greatest Common Factor of 1082,9420 By Matching Biggest Common Factor Method

Now, list down the factors of 1082

1,2,541,1082

Now, list down the factors of 9420

1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420

Greatest Common Factor

We found the factors 1082,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,9420 is 2.

Lets's calculate LCM of 872,827

Lowest Common Multiple of 872,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 721144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/721144

Therefore, the GCF of Fractions 1082/872,9420/827 is 2/721144

Least Common Multiple of 872,827 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 872,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,827) = 1

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

GCF(872,827) x common factors =1 x 1 = 1

LCM(872,827) = ( 872 × 827 ) / 1

LCM(872,827) = 721144 / 1

LCM(872,827) = 721144

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FAQs on GCF of Fractions of 1082/872, 9420/827

1. What is the HCF of 1082,9420?

The HCF of 1082,9420 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 1082/872, 9420/827?

Answer: GCF of Numerators as per given numbers 1082/872, 9420/827 is

GCF of Numerators i.e. for 1082,9420 is 2

LCM of denominators i.e. for 872,827 is 721144.

Thus, GCF of Fractions is 2/721144.Finally, GCF of Fractions for 1082/872, 9420/827 is 2/721144.