How to Find GCF of 9559/491, 7370/4354?

GCF of 9559/491, 7370/4354

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 9559/491, 7370/4354 i.e 11/2137814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9559/491, 7370/4354.

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 9559/491,7370/4354?

Given fractions are 9559/491,7370/4354

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 9559/491,7370/4354, numerators are 9559,7370

Denominators are 491,4354

The GCF of 9559,7370 is 11 .

LCM of 491,4354 is 2137814.

The greatest common factor of 9559/491,7370/4354 = [GCF of 9559,7370]/[LCM of 491,4354]= 11/2137814

Therefore, the GCF of 9559/491,7370/4354 is 11/2137814.

Greatest Common Factor of 9559,7370

To find the highest common factor of 9559,7370, we have to find the factors of both numbers and list the highest common factor.

The factors of 9559 are 1, 11, 79, 121, 869, 9559

The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370

The HCF of 9559,7370 is 11.

Lets's calculate GCF of 9559,7370

Greatest Common Factor (GCF) of 9559,7370 By Common Division

11	9559, 7370
	869, 670

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9559,7370 By Matching Biggest Common Factor Method

Now, list down the factors of 9559

1,11,79,121,869,9559

Now, list down the factors of 7370

1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370

Greatest Common Factor

We found the factors 9559,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 9559,7370 is 11.

Lets's calculate LCM of 491,4354

Lowest Common Multiple of 491,4354 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2137814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2137814

Therefore, the GCF of Fractions 9559/491,7370/4354 is 11/2137814

Least Common Multiple of 491,4354 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 491,4354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,4354) = 1

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

GCF(491,4354) x common factors =1 x 1 = 1

LCM(491,4354) = ( 491 × 4354 ) / 1

LCM(491,4354) = 2137814 / 1

LCM(491,4354) = 2137814

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FAQs on GCF of Fractions of 9559/491, 7370/4354

1. What is the HCF of 9559,7370?

The HCF of 9559,7370 is 11

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 9559/491, 7370/4354?

Answer: GCF of Numerators as per given numbers 9559/491, 7370/4354 is

GCF of Numerators i.e. for 9559,7370 is 11

LCM of denominators i.e. for 491,4354 is 2137814.

Thus, GCF of Fractions is 11/2137814.Finally, GCF of Fractions for 9559/491, 7370/4354 is 11/2137814.