GCF of 7964/964, 9264/5880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7964/964, 9264/5880 i.e 4/1417080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7964/964, 9264/5880.
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 7964/964,9264/5880?
Given fractions are 7964/964,9264/5880
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 7964/964,9264/5880, numerators are 7964,9264
Denominators are 964,5880
The GCF of 7964,9264 is 4 .
LCM of 964,5880 is 1417080.
The greatest common factor of 7964/964,9264/5880 = [GCF of 7964,9264]/[LCM of 964,5880]= 4/1417080
Therefore, the GCF of 7964/964,9264/5880 is 4/1417080.
To find the highest common factor of 7964,9264, we have to find the factors of both numbers and list the highest common factor.
The factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964
The factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264
The HCF of 7964,9264 is 4.
Lets's calculate GCF of 7964,9264
| 2 | 7964, 9264 |
| 2 | 3982, 4632 |
| 1991, 2316 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7964,9264 By Matching Biggest Common Factor Method
Now, list down the factors of 7964
:1,2,4,11,22,44,181,362,724,1991,3982,7964
Now, list down the factors of 9264
:1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Greatest Common Factor
We found the factors 7964,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 7964,9264 is 4.
Lets's calculate LCM of 964,5880
| 2 | 964, 5880 |
| 2 | 482, 2940 |
| 241, 1470 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 1470 = 1417080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1417080
Therefore, the GCF of Fractions 7964/964,9264/5880 is 4/1417080
Least Common Multiple of 964,5880 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 964,5880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,5880) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,5880) x common factors =4 x 1 = 4
LCM(964,5880) = ( 964 × 5880 ) / 4
LCM(964,5880) = 5668320 / 4
LCM(964,5880) = 1417080
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FAQs on GCF of Fractions of 7964/964, 9264/5880
1. What is the HCF of 7964,9264?
The HCF of 7964,9264 is 4
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 7964/964, 9264/5880?
Answer: GCF of Numerators as per given numbers 7964/964, 9264/5880 is
GCF of Numerators i.e. for 7964,9264 is 4
LCM of denominators i.e. for 964,5880 is 1417080.
Thus, GCF of Fractions is 4/1417080.Finally, GCF of Fractions for 7964/964, 9264/5880 is 4/1417080.