How to Find GCF of 9242/841, 8220/1031?

GCF of 9242/841, 8220/1031

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 9242/841, 8220/1031 i.e 2/867071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9242/841, 8220/1031.

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 9242/841,8220/1031?

Given fractions are 9242/841,8220/1031

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 9242/841,8220/1031, numerators are 9242,8220

Denominators are 841,1031

The GCF of 9242,8220 is 2 .

LCM of 841,1031 is 867071.

The greatest common factor of 9242/841,8220/1031 = [GCF of 9242,8220]/[LCM of 841,1031]= 2/867071

Therefore, the GCF of 9242/841,8220/1031 is 2/867071.

Greatest Common Factor of 9242,8220

To find the highest common factor of 9242,8220, we have to find the factors of both numbers and list the highest common factor.

The factors of 9242 are 1, 2, 4621, 9242

The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220

The HCF of 9242,8220 is 2.

Lets's calculate GCF of 9242,8220

Greatest Common Factor (GCF) of 9242,8220 By Common Division

2	9242, 8220
	4621, 4110

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

Greatest Common Factor of 9242,8220 By Matching Biggest Common Factor Method

Now, list down the factors of 9242

1,2,4621,9242

Now, list down the factors of 8220

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors 9242,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 9242,8220 is 2.

Lets's calculate LCM of 841,1031

Lowest Common Multiple of 841,1031 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 867071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/867071

Therefore, the GCF of Fractions 9242/841,8220/1031 is 2/867071

Least Common Multiple of 841,1031 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 841,1031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,1031) = 1

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

GCF(841,1031) x common factors =1 x 1 = 1

LCM(841,1031) = ( 841 × 1031 ) / 1

LCM(841,1031) = 867071 / 1

LCM(841,1031) = 867071

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FAQs on GCF of Fractions of 9242/841, 8220/1031

1. What is the HCF of 9242,8220?

The HCF of 9242,8220 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 9242/841, 8220/1031?

Answer: GCF of Numerators as per given numbers 9242/841, 8220/1031 is

GCF of Numerators i.e. for 9242,8220 is 2

LCM of denominators i.e. for 841,1031 is 867071.

Thus, GCF of Fractions is 2/867071.Finally, GCF of Fractions for 9242/841, 8220/1031 is 2/867071.