How to Find GCF of 294/949, 4751/6656?

GCF of 294/949, 4751/6656

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 294/949, 4751/6656 i.e 1/485888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/949, 4751/6656.

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 294/949,4751/6656?

Given fractions are 294/949,4751/6656

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 294/949,4751/6656, numerators are 294,4751

Denominators are 949,6656

The GCF of 294,4751 is 1 .

LCM of 949,6656 is 485888.

The greatest common factor of 294/949,4751/6656 = [GCF of 294,4751]/[LCM of 949,6656]= 1/485888

Therefore, the GCF of 294/949,4751/6656 is 1/485888.

Greatest Common Factor of 294,4751

To find the highest common factor of 294,4751, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 4751 are 1, 4751

The HCF of 294,4751 is 1.

Lets's calculate GCF of 294,4751

Greatest Common Factor (GCF) of 294,4751 By Common Division

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

Greatest Common Factor of 294,4751 By Matching Biggest Common Factor Method

Now, list down the factors of 294

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 4751

1,4751

Greatest Common Factor

We found the factors 294,4751 . The biggest common factor number is the GCF number.
So the greatest common factor 294,4751 is 1.

Lets's calculate LCM of 949,6656

Lowest Common Multiple of 949,6656 using Common Division

13	949, 6656
	73, 512

∴ So the LCM of the given numbers is 13 x 73 x 512 = 485888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485888

Therefore, the GCF of Fractions 294/949,4751/6656 is 1/485888

Least Common Multiple of 949,6656 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 949,6656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,6656) = 13

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

GCF(949,6656) x common factors =13 x 1 = 13

LCM(949,6656) = ( 949 × 6656 ) / 13

LCM(949,6656) = 6316544 / 13

LCM(949,6656) = 485888

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FAQs on GCF of Fractions of 294/949, 4751/6656

1. What is the HCF of 294,4751?

The HCF of 294,4751 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 294/949, 4751/6656?

Answer: GCF of Numerators as per given numbers 294/949, 4751/6656 is

GCF of Numerators i.e. for 294,4751 is 1

LCM of denominators i.e. for 949,6656 is 485888.

Thus, GCF of Fractions is 1/485888.Finally, GCF of Fractions for 294/949, 4751/6656 is 1/485888.