How to Find GCF of 4952/918, 1187/9469?

GCF of 4952/918, 1187/9469

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 4952/918, 1187/9469 i.e 1/511326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4952/918, 1187/9469.

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 4952/918,1187/9469?

Given fractions are 4952/918,1187/9469

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 4952/918,1187/9469, numerators are 4952,1187

Denominators are 918,9469

The GCF of 4952,1187 is 1 .

LCM of 918,9469 is 511326.

The greatest common factor of 4952/918,1187/9469 = [GCF of 4952,1187]/[LCM of 918,9469]= 1/511326

Therefore, the GCF of 4952/918,1187/9469 is 1/511326.

Greatest Common Factor of 4952,1187

To find the highest common factor of 4952,1187, we have to find the factors of both numbers and list the highest common factor.

The factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952

The factors of 1187 are 1, 1187

The HCF of 4952,1187 is 1.

Lets's calculate GCF of 4952,1187

Greatest Common Factor (GCF) of 4952,1187 By Common Division

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

Greatest Common Factor of 4952,1187 By Matching Biggest Common Factor Method

Now, list down the factors of 4952

1,2,4,8,619,1238,2476,4952

Now, list down the factors of 1187

1,1187

Greatest Common Factor

We found the factors 4952,1187 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,1187 is 1.

Lets's calculate LCM of 918,9469

Lowest Common Multiple of 918,9469 using Common Division

17	918, 9469
	54, 557

∴ So the LCM of the given numbers is 17 x 54 x 557 = 511326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511326

Therefore, the GCF of Fractions 4952/918,1187/9469 is 1/511326

Least Common Multiple of 918,9469 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 918,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,9469) = 17

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

GCF(918,9469) x common factors =17 x 1 = 17

LCM(918,9469) = ( 918 × 9469 ) / 17

LCM(918,9469) = 8692542 / 17

LCM(918,9469) = 511326

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FAQs on GCF of Fractions of 4952/918, 1187/9469

1. What is the HCF of 4952,1187?

The HCF of 4952,1187 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 4952/918, 1187/9469?

Answer: GCF of Numerators as per given numbers 4952/918, 1187/9469 is

GCF of Numerators i.e. for 4952,1187 is 1

LCM of denominators i.e. for 918,9469 is 511326.

Thus, GCF of Fractions is 1/511326.Finally, GCF of Fractions for 4952/918, 1187/9469 is 1/511326.