How to Find GCF of 1112/932, 3070/5413?

GCF of 1112/932, 3070/5413

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 1112/932, 3070/5413 i.e 2/5044916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1112/932, 3070/5413.

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 1112/932,3070/5413?

Given fractions are 1112/932,3070/5413

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 1112/932,3070/5413, numerators are 1112,3070

Denominators are 932,5413

The GCF of 1112,3070 is 2 .

LCM of 932,5413 is 5044916.

The greatest common factor of 1112/932,3070/5413 = [GCF of 1112,3070]/[LCM of 932,5413]= 2/5044916

Therefore, the GCF of 1112/932,3070/5413 is 2/5044916.

Greatest Common Factor of 1112,3070

To find the highest common factor of 1112,3070, we have to find the factors of both numbers and list the highest common factor.

The factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112

The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070

The HCF of 1112,3070 is 2.

Lets's calculate GCF of 1112,3070

Greatest Common Factor (GCF) of 1112,3070 By Common Division

2	1112, 3070
	556, 1535

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

Greatest Common Factor of 1112,3070 By Matching Biggest Common Factor Method

Now, list down the factors of 1112

1,2,4,8,139,278,556,1112

Now, list down the factors of 3070

1,2,5,10,307,614,1535,3070

Greatest Common Factor

We found the factors 1112,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 1112,3070 is 2.

Lets's calculate LCM of 932,5413

Lowest Common Multiple of 932,5413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5044916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5044916

Therefore, the GCF of Fractions 1112/932,3070/5413 is 2/5044916

Least Common Multiple of 932,5413 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 932,5413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,5413) = 1

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

GCF(932,5413) x common factors =1 x 1 = 1

LCM(932,5413) = ( 932 × 5413 ) / 1

LCM(932,5413) = 5044916 / 1

LCM(932,5413) = 5044916

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1112/932, 3070/5413

1. What is the HCF of 1112,3070?

The HCF of 1112,3070 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 1112/932, 3070/5413?

Answer: GCF of Numerators as per given numbers 1112/932, 3070/5413 is

GCF of Numerators i.e. for 1112,3070 is 2

LCM of denominators i.e. for 932,5413 is 5044916.

Thus, GCF of Fractions is 2/5044916.Finally, GCF of Fractions for 1112/932, 3070/5413 is 2/5044916.