How to Find GCF of 9956/17, 4780/361?

GCF of 9956/17, 4780/361

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 9956/17, 4780/361 i.e 4/6137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9956/17, 4780/361.

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 9956/17,4780/361?

Given fractions are 9956/17,4780/361

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 9956/17,4780/361, numerators are 9956,4780

Denominators are 17,361

The GCF of 9956,4780 is 4 .

LCM of 17,361 is 6137.

The greatest common factor of 9956/17,4780/361 = [GCF of 9956,4780]/[LCM of 17,361]= 4/6137

Therefore, the GCF of 9956/17,4780/361 is 4/6137.

Greatest Common Factor of 9956,4780

To find the highest common factor of 9956,4780, we have to find the factors of both numbers and list the highest common factor.

The factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956

The factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780

The HCF of 9956,4780 is 4.

Lets's calculate GCF of 9956,4780

Greatest Common Factor (GCF) of 9956,4780 By Common Division

2	9956, 4780
2	4978, 2390
	2489, 1195

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9956,4780 By Matching Biggest Common Factor Method

Now, list down the factors of 9956

1,2,4,19,38,76,131,262,524,2489,4978,9956

Now, list down the factors of 4780

1,2,4,5,10,20,239,478,956,1195,2390,4780

Greatest Common Factor

We found the factors 9956,4780 . The biggest common factor number is the GCF number.
So the greatest common factor 9956,4780 is 4.

Lets's calculate LCM of 17,361

Lowest Common Multiple of 17,361 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6137

Therefore, the GCF of Fractions 9956/17,4780/361 is 4/6137

Least Common Multiple of 17,361 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 17,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,361) = 1

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

GCF(17,361) x common factors =1 x 1 = 1

LCM(17,361) = ( 17 × 361 ) / 1

LCM(17,361) = 6137 / 1

LCM(17,361) = 6137

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FAQs on GCF of Fractions of 9956/17, 4780/361

1. What is the HCF of 9956,4780?

The HCF of 9956,4780 is 4

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 9956/17, 4780/361?

Answer: GCF of Numerators as per given numbers 9956/17, 4780/361 is

GCF of Numerators i.e. for 9956,4780 is 4

LCM of denominators i.e. for 17,361 is 6137.

Thus, GCF of Fractions is 4/6137.Finally, GCF of Fractions for 9956/17, 4780/361 is 4/6137.