How to Find GCF of 4841/875, 9262/1306?

GCF of 4841/875, 9262/1306

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 4841/875, 9262/1306 i.e 1/1142750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4841/875, 9262/1306.

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 4841/875,9262/1306?

Given fractions are 4841/875,9262/1306

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 4841/875,9262/1306, numerators are 4841,9262

Denominators are 875,1306

The GCF of 4841,9262 is 1 .

LCM of 875,1306 is 1142750.

The greatest common factor of 4841/875,9262/1306 = [GCF of 4841,9262]/[LCM of 875,1306]= 1/1142750

Therefore, the GCF of 4841/875,9262/1306 is 1/1142750.

Greatest Common Factor of 4841,9262

To find the highest common factor of 4841,9262, 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 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262

The HCF of 4841,9262 is 1.

Lets's calculate GCF of 4841,9262

Greatest Common Factor (GCF) of 4841,9262 By Common Division

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

Greatest Common Factor of 4841,9262 By Matching Biggest Common Factor Method

Now, list down the factors of 4841

1,47,103,4841

Now, list down the factors of 9262

1,2,11,22,421,842,4631,9262

Greatest Common Factor

We found the factors 4841,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 4841,9262 is 1.

Lets's calculate LCM of 875,1306

Lowest Common Multiple of 875,1306 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1142750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1142750

Therefore, the GCF of Fractions 4841/875,9262/1306 is 1/1142750

Least Common Multiple of 875,1306 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 875,1306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,1306) = 1

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

GCF(875,1306) x common factors =1 x 1 = 1

LCM(875,1306) = ( 875 × 1306 ) / 1

LCM(875,1306) = 1142750 / 1

LCM(875,1306) = 1142750

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FAQs on GCF of Fractions of 4841/875, 9262/1306

1. What is the HCF of 4841,9262?

The HCF of 4841,9262 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 4841/875, 9262/1306?

Answer: GCF of Numerators as per given numbers 4841/875, 9262/1306 is

GCF of Numerators i.e. for 4841,9262 is 1

LCM of denominators i.e. for 875,1306 is 1142750.

Thus, GCF of Fractions is 1/1142750.Finally, GCF of Fractions for 4841/875, 9262/1306 is 1/1142750.