How to Find GCF of 9362/947, 7028/5601?

GCF of 9362/947, 7028/5601

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 9362/947, 7028/5601 i.e 2/5304147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9362/947, 7028/5601.

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 9362/947,7028/5601?

Given fractions are 9362/947,7028/5601

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 9362/947,7028/5601, numerators are 9362,7028

Denominators are 947,5601

The GCF of 9362,7028 is 2 .

LCM of 947,5601 is 5304147.

The greatest common factor of 9362/947,7028/5601 = [GCF of 9362,7028]/[LCM of 947,5601]= 2/5304147

Therefore, the GCF of 9362/947,7028/5601 is 2/5304147.

Greatest Common Factor of 9362,7028

To find the highest common factor of 9362,7028, we have to find the factors of both numbers and list the highest common factor.

The factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362

The factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028

The HCF of 9362,7028 is 2.

Lets's calculate GCF of 9362,7028

Greatest Common Factor (GCF) of 9362,7028 By Common Division

2	9362, 7028
	4681, 3514

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9362,7028 By Matching Biggest Common Factor Method

Now, list down the factors of 9362

1,2,31,62,151,302,4681,9362

Now, list down the factors of 7028

1,2,4,7,14,28,251,502,1004,1757,3514,7028

Greatest Common Factor

We found the factors 9362,7028 . The biggest common factor number is the GCF number.
So the greatest common factor 9362,7028 is 2.

Lets's calculate LCM of 947,5601

Lowest Common Multiple of 947,5601 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5304147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5304147

Therefore, the GCF of Fractions 9362/947,7028/5601 is 2/5304147

Least Common Multiple of 947,5601 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 947,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,5601) = 1

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

GCF(947,5601) x common factors =1 x 1 = 1

LCM(947,5601) = ( 947 × 5601 ) / 1

LCM(947,5601) = 5304147 / 1

LCM(947,5601) = 5304147

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9362/947, 7028/5601

1. What is the HCF of 9362,7028?

The HCF of 9362,7028 is 2

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 9362/947, 7028/5601?

Answer: GCF of Numerators as per given numbers 9362/947, 7028/5601 is

GCF of Numerators i.e. for 9362,7028 is 2

LCM of denominators i.e. for 947,5601 is 5304147.

Thus, GCF of Fractions is 2/5304147.Finally, GCF of Fractions for 9362/947, 7028/5601 is 2/5304147.