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GCF of 6944/353, 4747/9827

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 6944/353, 4747/9827 i.e 1/3468931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6944/353, 4747/9827.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6944/353,4747/9827?

Given fractions are 6944/353,4747/9827

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 6944/353,4747/9827, numerators are 6944,4747

Denominators are 353,9827

The GCF of 6944,4747 is 1 .

LCM of 353,9827 is 3468931.

The greatest common factor of 6944/353,4747/9827 = [GCF of 6944,4747]/[LCM of 353,9827]= 1/3468931

Therefore, the GCF of 6944/353,4747/9827 is 1/3468931.

Greatest Common Factor of 6944,4747

To find the highest common factor of 6944,4747, we have to find the factors of both numbers and list the highest common factor.

The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944

The factors of 4747 are 1, 47, 101, 4747

The HCF of 6944,4747 is 1.

Lets's calculate GCF of 6944,4747

Greatest Common Factor (GCF) of 6944,4747 By Common Division

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

Greatest Common Factor of 6944,4747 By Matching Biggest Common Factor Method

Greatest Common Factor of 6944,4747 By Matching Biggest Common Factor Method

Now, list down the factors of 6944

:

1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944

Now, list down the factors of 4747

:

1,47,101,4747

Greatest Common Factor

We found the factors 6944,4747 . The biggest common factor number is the GCF number.
So the greatest common factor 6944,4747 is 1.


Lets's calculate LCM of 353,9827

Lowest Common Multiple of 353,9827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3468931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3468931

Therefore, the GCF of Fractions 6944/353,4747/9827 is 1/3468931

Least Common Multiple of 353,9827 with GCF Formula

Least Common Multiple of 353,9827 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 353,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,9827) = 1

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

GCF(353,9827) x common factors =1 x 1 = 1

LCM(353,9827) = ( 353 × 9827 ) / 1

LCM(353,9827) = 3468931 / 1

LCM(353,9827) = 3468931


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6944/353, 4747/9827

1. What is the HCF of 6944,4747?

The HCF of 6944,4747 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 6944/353, 4747/9827?

Answer: GCF of Numerators as per given numbers 6944/353, 4747/9827 is

GCF of Numerators i.e. for 6944,4747 is 1

LCM of denominators i.e. for 353,9827 is 3468931.

Thus, GCF of Fractions is 1/3468931.Finally, GCF of Fractions for 6944/353, 4747/9827 is 1/3468931.