GCF of 976/79, 298/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/79, 298/564 i.e 2/44556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/79, 298/564.
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 976/79,298/564?
Given fractions are 976/79,298/564
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 976/79,298/564, numerators are 976,298
Denominators are 79,564
The GCF of 976,298 is 2 .
LCM of 79,564 is 44556.
The greatest common factor of 976/79,298/564 = [GCF of 976,298]/[LCM of 79,564]= 2/44556
Therefore, the GCF of 976/79,298/564 is 2/44556.
To find the highest common factor of 976,298, 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 298 are 1, 2, 149, 298
The HCF of 976,298 is 2.
Lets's calculate GCF of 976,298
| 2 | 976, 298 |
| 488, 149 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 976,298 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 298
:1,2,149,298
Greatest Common Factor
We found the factors 976,298 . The biggest common factor number is the GCF number.
So the greatest common factor 976,298 is 2.
Lets's calculate LCM of 79,564
Given numbers has no common factors except 1. So, there LCM is their product i.e 44556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44556
Therefore, the GCF of Fractions 976/79,298/564 is 2/44556
Least Common Multiple of 79,564 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 79,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,564) x common factors =1 x 1 = 1
LCM(79,564) = ( 79 × 564 ) / 1
LCM(79,564) = 44556 / 1
LCM(79,564) = 44556
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FAQs on GCF of Fractions of 976/79, 298/564
1. What is the HCF of 976,298?
The HCF of 976,298 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 976/79, 298/564?
Answer: GCF of Numerators as per given numbers 976/79, 298/564 is
GCF of Numerators i.e. for 976,298 is 2
LCM of denominators i.e. for 79,564 is 44556.
Thus, GCF of Fractions is 2/44556.Finally, GCF of Fractions for 976/79, 298/564 is 2/44556.