GCF of 7881/754, 6928/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7881/754, 6928/366 i.e 1/137982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7881/754, 6928/366.
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 7881/754,6928/366?
Given fractions are 7881/754,6928/366
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 7881/754,6928/366, numerators are 7881,6928
Denominators are 754,366
The GCF of 7881,6928 is 1 .
LCM of 754,366 is 137982.
The greatest common factor of 7881/754,6928/366 = [GCF of 7881,6928]/[LCM of 754,366]= 1/137982
Therefore, the GCF of 7881/754,6928/366 is 1/137982.
To find the highest common factor of 7881,6928, we have to find the factors of both numbers and list the highest common factor.
The factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881
The factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928
The HCF of 7881,6928 is 1.
Lets's calculate GCF of 7881,6928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7881,6928 By Matching Biggest Common Factor Method
Now, list down the factors of 7881
:1,3,37,71,111,213,2627,7881
Now, list down the factors of 6928
:1,2,4,8,16,433,866,1732,3464,6928
Greatest Common Factor
We found the factors 7881,6928 . The biggest common factor number is the GCF number.
So the greatest common factor 7881,6928 is 1.
Lets's calculate LCM of 754,366
| 2 | 754, 366 |
| 377, 183 |
∴ So the LCM of the given numbers is 2 x 377 x 183 = 137982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137982
Therefore, the GCF of Fractions 7881/754,6928/366 is 1/137982
Least Common Multiple of 754,366 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 754,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,366) x common factors =2 x 1 = 2
LCM(754,366) = ( 754 × 366 ) / 2
LCM(754,366) = 275964 / 2
LCM(754,366) = 137982
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FAQs on GCF of Fractions of 7881/754, 6928/366
1. What is the HCF of 7881,6928?
The HCF of 7881,6928 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 7881/754, 6928/366?
Answer: GCF of Numerators as per given numbers 7881/754, 6928/366 is
GCF of Numerators i.e. for 7881,6928 is 1
LCM of denominators i.e. for 754,366 is 137982.
Thus, GCF of Fractions is 1/137982.Finally, GCF of Fractions for 7881/754, 6928/366 is 1/137982.