GCF of 7908/914, 3252/8738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7908/914, 3252/8738 i.e 12/3993266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7908/914, 3252/8738.
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 7908/914,3252/8738?
Given fractions are 7908/914,3252/8738
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 7908/914,3252/8738, numerators are 7908,3252
Denominators are 914,8738
The GCF of 7908,3252 is 12 .
LCM of 914,8738 is 3993266.
The greatest common factor of 7908/914,3252/8738 = [GCF of 7908,3252]/[LCM of 914,8738]= 12/3993266
Therefore, the GCF of 7908/914,3252/8738 is 12/3993266.
To find the highest common factor of 7908,3252, we have to find the factors of both numbers and list the highest common factor.
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252
The HCF of 7908,3252 is 12.
Lets's calculate GCF of 7908,3252
| 2 | 7908, 3252 |
| 2 | 3954, 1626 |
| 3 | 1977, 813 |
| 659, 271 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7908,3252 By Matching Biggest Common Factor Method
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Now, list down the factors of 3252
:1,2,3,4,6,12,271,542,813,1084,1626,3252
Greatest Common Factor
We found the factors 7908,3252 . The biggest common factor number is the GCF number.
So the greatest common factor 7908,3252 is 12.
Lets's calculate LCM of 914,8738
| 2 | 914, 8738 |
| 457, 4369 |
∴ So the LCM of the given numbers is 2 x 457 x 4369 = 3993266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3993266
Therefore, the GCF of Fractions 7908/914,3252/8738 is 12/3993266
Least Common Multiple of 914,8738 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 914,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,8738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,8738) x common factors =2 x 1 = 2
LCM(914,8738) = ( 914 × 8738 ) / 2
LCM(914,8738) = 7986532 / 2
LCM(914,8738) = 3993266
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FAQs on GCF of Fractions of 7908/914, 3252/8738
1. What is the HCF of 7908,3252?
The HCF of 7908,3252 is 12
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 7908/914, 3252/8738?
Answer: GCF of Numerators as per given numbers 7908/914, 3252/8738 is
GCF of Numerators i.e. for 7908,3252 is 12
LCM of denominators i.e. for 914,8738 is 3993266.
Thus, GCF of Fractions is 12/3993266.Finally, GCF of Fractions for 7908/914, 3252/8738 is 12/3993266.