GCF of 8778/264, 1131/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8778/264, 1131/971 i.e 3/256344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8778/264, 1131/971.
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 8778/264,1131/971?
Given fractions are 8778/264,1131/971
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 8778/264,1131/971, numerators are 8778,1131
Denominators are 264,971
The GCF of 8778,1131 is 3 .
LCM of 264,971 is 256344.
The greatest common factor of 8778/264,1131/971 = [GCF of 8778,1131]/[LCM of 264,971]= 3/256344
Therefore, the GCF of 8778/264,1131/971 is 3/256344.
To find the highest common factor of 8778,1131, we have to find the factors of both numbers and list the highest common factor.
The factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778
The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131
The HCF of 8778,1131 is 3.
Lets's calculate GCF of 8778,1131
| 3 | 8778, 1131 |
| 2926, 377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8778,1131 By Matching Biggest Common Factor Method
Now, list down the factors of 8778
:1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778
Now, list down the factors of 1131
:1,3,13,29,39,87,377,1131
Greatest Common Factor
We found the factors 8778,1131 . The biggest common factor number is the GCF number.
So the greatest common factor 8778,1131 is 3.
Lets's calculate LCM of 264,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 256344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/256344
Therefore, the GCF of Fractions 8778/264,1131/971 is 3/256344
Least Common Multiple of 264,971 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 264,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,971) x common factors =1 x 1 = 1
LCM(264,971) = ( 264 × 971 ) / 1
LCM(264,971) = 256344 / 1
LCM(264,971) = 256344
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FAQs on GCF of Fractions of 8778/264, 1131/971
1. What is the HCF of 8778,1131?
The HCF of 8778,1131 is 3
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 8778/264, 1131/971?
Answer: GCF of Numerators as per given numbers 8778/264, 1131/971 is
GCF of Numerators i.e. for 8778,1131 is 3
LCM of denominators i.e. for 264,971 is 256344.
Thus, GCF of Fractions is 3/256344.Finally, GCF of Fractions for 8778/264, 1131/971 is 3/256344.