GCF of 9976/654, 8782/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9976/654, 8782/665 i.e 2/434910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9976/654, 8782/665.
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 9976/654,8782/665?
Given fractions are 9976/654,8782/665
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 9976/654,8782/665, numerators are 9976,8782
Denominators are 654,665
The GCF of 9976,8782 is 2 .
LCM of 654,665 is 434910.
The greatest common factor of 9976/654,8782/665 = [GCF of 9976,8782]/[LCM of 654,665]= 2/434910
Therefore, the GCF of 9976/654,8782/665 is 2/434910.
To find the highest common factor of 9976,8782, we have to find the factors of both numbers and list the highest common factor.
The factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976
The factors of 8782 are 1, 2, 4391, 8782
The HCF of 9976,8782 is 2.
Lets's calculate GCF of 9976,8782
| 2 | 9976, 8782 |
| 4988, 4391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9976,8782 By Matching Biggest Common Factor Method
Now, list down the factors of 9976
:1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976
Now, list down the factors of 8782
:1,2,4391,8782
Greatest Common Factor
We found the factors 9976,8782 . The biggest common factor number is the GCF number.
So the greatest common factor 9976,8782 is 2.
Lets's calculate LCM of 654,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 434910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/434910
Therefore, the GCF of Fractions 9976/654,8782/665 is 2/434910
Least Common Multiple of 654,665 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 654,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,665) x common factors =1 x 1 = 1
LCM(654,665) = ( 654 × 665 ) / 1
LCM(654,665) = 434910 / 1
LCM(654,665) = 434910
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FAQs on GCF of Fractions of 9976/654, 8782/665
1. What is the HCF of 9976,8782?
The HCF of 9976,8782 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 9976/654, 8782/665?
Answer: GCF of Numerators as per given numbers 9976/654, 8782/665 is
GCF of Numerators i.e. for 9976,8782 is 2
LCM of denominators i.e. for 654,665 is 434910.
Thus, GCF of Fractions is 2/434910.Finally, GCF of Fractions for 9976/654, 8782/665 is 2/434910.