How to Find GCF of 976/208, 990/263?

GCF of 976/208, 990/263

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 976/208, 990/263 i.e 2/54704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/208, 990/263.

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 976/208,990/263?

Given fractions are 976/208,990/263

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 976/208,990/263, numerators are 976,990

Denominators are 208,263

The GCF of 976,990 is 2 .

LCM of 208,263 is 54704.

The greatest common factor of 976/208,990/263 = [GCF of 976,990]/[LCM of 208,263]= 2/54704

Therefore, the GCF of 976/208,990/263 is 2/54704.

Greatest Common Factor of 976,990

To find the highest common factor of 976,990, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

The HCF of 976,990 is 2.

Lets's calculate GCF of 976,990

Greatest Common Factor (GCF) of 976,990 By Common Division

2	976, 990
	488, 495

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

Greatest Common Factor of 976,990 By Matching Biggest Common Factor Method

Now, list down the factors of 976

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 990

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 976,990 . The biggest common factor number is the GCF number.
So the greatest common factor 976,990 is 2.

Lets's calculate LCM of 208,263

Lowest Common Multiple of 208,263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54704

Therefore, the GCF of Fractions 976/208,990/263 is 2/54704

Least Common Multiple of 208,263 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 208,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,263) = 1

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

GCF(208,263) x common factors =1 x 1 = 1

LCM(208,263) = ( 208 × 263 ) / 1

LCM(208,263) = 54704 / 1

LCM(208,263) = 54704

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FAQs on GCF of Fractions of 976/208, 990/263

1. What is the HCF of 976,990?

The HCF of 976,990 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 976/208, 990/263?

Answer: GCF of Numerators as per given numbers 976/208, 990/263 is

GCF of Numerators i.e. for 976,990 is 2

LCM of denominators i.e. for 208,263 is 54704.

Thus, GCF of Fractions is 2/54704.Finally, GCF of Fractions for 976/208, 990/263 is 2/54704.