How to Find GCF of 92/932, 4922/9230?

GCF of 92/932, 4922/9230

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 92/932, 4922/9230 i.e 46/4301180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/932, 4922/9230.

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 92/932,4922/9230?

Given fractions are 92/932,4922/9230

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 92/932,4922/9230, numerators are 92,4922

Denominators are 932,9230

The GCF of 92,4922 is 46 .

LCM of 932,9230 is 4301180.

The greatest common factor of 92/932,4922/9230 = [GCF of 92,4922]/[LCM of 932,9230]= 46/4301180

Therefore, the GCF of 92/932,4922/9230 is 46/4301180.

Greatest Common Factor of 92,4922

To find the highest common factor of 92,4922, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922

The HCF of 92,4922 is 46.

Lets's calculate GCF of 92,4922

Greatest Common Factor (GCF) of 92,4922 By Common Division

2	92, 4922
23	46, 2461
	2, 107

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 92,4922 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 4922

1,2,23,46,107,214,2461,4922

Greatest Common Factor

We found the factors 92,4922 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4922 is 46.

Lets's calculate LCM of 932,9230

Lowest Common Multiple of 932,9230 using Common Division

2	932, 9230
	466, 4615

∴ So the LCM of the given numbers is 2 x 466 x 4615 = 4301180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/4301180

Therefore, the GCF of Fractions 92/932,4922/9230 is 46/4301180

Least Common Multiple of 932,9230 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 932,9230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,9230) = 2

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

GCF(932,9230) x common factors =2 x 1 = 2

LCM(932,9230) = ( 932 × 9230 ) / 2

LCM(932,9230) = 8602360 / 2

LCM(932,9230) = 4301180

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FAQs on GCF of Fractions of 92/932, 4922/9230

1. What is the HCF of 92,4922?

The HCF of 92,4922 is 46

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 92/932, 4922/9230?

Answer: GCF of Numerators as per given numbers 92/932, 4922/9230 is

GCF of Numerators i.e. for 92,4922 is 46

LCM of denominators i.e. for 932,9230 is 4301180.

Thus, GCF of Fractions is 46/4301180.Finally, GCF of Fractions for 92/932, 4922/9230 is 46/4301180.