How to Find GCF of 360/472, 9274/9961?

GCF of 360/472, 9274/9961

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 360/472, 9274/9961 i.e 2/4701592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/472, 9274/9961.

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 360/472,9274/9961?

Given fractions are 360/472,9274/9961

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 360/472,9274/9961, numerators are 360,9274

Denominators are 472,9961

The GCF of 360,9274 is 2 .

LCM of 472,9961 is 4701592.

The greatest common factor of 360/472,9274/9961 = [GCF of 360,9274]/[LCM of 472,9961]= 2/4701592

Therefore, the GCF of 360/472,9274/9961 is 2/4701592.

Greatest Common Factor of 360,9274

To find the highest common factor of 360,9274, we have to find the factors of both numbers and list the highest common factor.

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

The factors of 9274 are 1, 2, 4637, 9274

The HCF of 360,9274 is 2.

Lets's calculate GCF of 360,9274

Greatest Common Factor (GCF) of 360,9274 By Common Division

2	360, 9274
	180, 4637

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

Greatest Common Factor of 360,9274 By Matching Biggest Common Factor Method

Now, list down the factors of 360

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Now, list down the factors of 9274

1,2,4637,9274

Greatest Common Factor

We found the factors 360,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 360,9274 is 2.

Lets's calculate LCM of 472,9961

Lowest Common Multiple of 472,9961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4701592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4701592

Therefore, the GCF of Fractions 360/472,9274/9961 is 2/4701592

Least Common Multiple of 472,9961 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 472,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,9961) = 1

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

GCF(472,9961) x common factors =1 x 1 = 1

LCM(472,9961) = ( 472 × 9961 ) / 1

LCM(472,9961) = 4701592 / 1

LCM(472,9961) = 4701592

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FAQs on GCF of Fractions of 360/472, 9274/9961

1. What is the HCF of 360,9274?

The HCF of 360,9274 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 360/472, 9274/9961?

Answer: GCF of Numerators as per given numbers 360/472, 9274/9961 is

GCF of Numerators i.e. for 360,9274 is 2

LCM of denominators i.e. for 472,9961 is 4701592.

Thus, GCF of Fractions is 2/4701592.Finally, GCF of Fractions for 360/472, 9274/9961 is 2/4701592.