GCF of 8777/952, 9002/9416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8777/952, 9002/9416 i.e 1/1120504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8777/952, 9002/9416.
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 8777/952,9002/9416?
Given fractions are 8777/952,9002/9416
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 8777/952,9002/9416, numerators are 8777,9002
Denominators are 952,9416
The GCF of 8777,9002 is 1 .
LCM of 952,9416 is 1120504.
The greatest common factor of 8777/952,9002/9416 = [GCF of 8777,9002]/[LCM of 952,9416]= 1/1120504
Therefore, the GCF of 8777/952,9002/9416 is 1/1120504.
To find the highest common factor of 8777,9002, we have to find the factors of both numbers and list the highest common factor.
The factors of 8777 are 1, 67, 131, 8777
The factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002
The HCF of 8777,9002 is 1.
Lets's calculate GCF of 8777,9002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8777,9002 By Matching Biggest Common Factor Method
Now, list down the factors of 8777
:1,67,131,8777
Now, list down the factors of 9002
:1,2,7,14,643,1286,4501,9002
Greatest Common Factor
We found the factors 8777,9002 . The biggest common factor number is the GCF number.
So the greatest common factor 8777,9002 is 1.
Lets's calculate LCM of 952,9416
| 2 | 952, 9416 |
| 2 | 476, 4708 |
| 2 | 238, 2354 |
| 119, 1177 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 1177 = 1120504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120504
Therefore, the GCF of Fractions 8777/952,9002/9416 is 1/1120504
Least Common Multiple of 952,9416 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 952,9416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,9416) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(952,9416) x common factors =8 x 1 = 8
LCM(952,9416) = ( 952 × 9416 ) / 8
LCM(952,9416) = 8964032 / 8
LCM(952,9416) = 1120504
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FAQs on GCF of Fractions of 8777/952, 9002/9416
1. What is the HCF of 8777,9002?
The HCF of 8777,9002 is 1
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 8777/952, 9002/9416?
Answer: GCF of Numerators as per given numbers 8777/952, 9002/9416 is
GCF of Numerators i.e. for 8777,9002 is 1
LCM of denominators i.e. for 952,9416 is 1120504.
Thus, GCF of Fractions is 1/1120504.Finally, GCF of Fractions for 8777/952, 9002/9416 is 1/1120504.