How to Find GCF of 4841/845, 9152/8567?

GCF of 4841/845, 9152/8567

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 4841/845, 9152/8567 i.e 1/556855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4841/845, 9152/8567.

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 4841/845,9152/8567?

Given fractions are 4841/845,9152/8567

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 4841/845,9152/8567, numerators are 4841,9152

Denominators are 845,8567

The GCF of 4841,9152 is 1 .

LCM of 845,8567 is 556855.

The greatest common factor of 4841/845,9152/8567 = [GCF of 4841,9152]/[LCM of 845,8567]= 1/556855

Therefore, the GCF of 4841/845,9152/8567 is 1/556855.

Greatest Common Factor of 4841,9152

To find the highest common factor of 4841,9152, we have to find the factors of both numbers and list the highest common factor.

The factors of 4841 are 1, 47, 103, 4841

The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152

The HCF of 4841,9152 is 1.

Lets's calculate GCF of 4841,9152

Greatest Common Factor (GCF) of 4841,9152 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4841,9152 By Matching Biggest Common Factor Method

Now, list down the factors of 4841

1,47,103,4841

Now, list down the factors of 9152

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Greatest Common Factor

We found the factors 4841,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 4841,9152 is 1.

Lets's calculate LCM of 845,8567

Lowest Common Multiple of 845,8567 using Common Division

13	845, 8567
	65, 659

∴ So the LCM of the given numbers is 13 x 65 x 659 = 556855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/556855

Therefore, the GCF of Fractions 4841/845,9152/8567 is 1/556855

Least Common Multiple of 845,8567 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 845,8567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,8567) = 13

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

GCF(845,8567) x common factors =13 x 1 = 13

LCM(845,8567) = ( 845 × 8567 ) / 13

LCM(845,8567) = 7239115 / 13

LCM(845,8567) = 556855

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4841/845, 9152/8567

1. What is the HCF of 4841,9152?

The HCF of 4841,9152 is 1

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 4841/845, 9152/8567?

Answer: GCF of Numerators as per given numbers 4841/845, 9152/8567 is

GCF of Numerators i.e. for 4841,9152 is 1

LCM of denominators i.e. for 845,8567 is 556855.

Thus, GCF of Fractions is 1/556855.Finally, GCF of Fractions for 4841/845, 9152/8567 is 1/556855.