GCF of 7616/982, 9512/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7616/982, 9512/3144 i.e 8/1543704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7616/982, 9512/3144.
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 7616/982,9512/3144?
Given fractions are 7616/982,9512/3144
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 7616/982,9512/3144, numerators are 7616,9512
Denominators are 982,3144
The GCF of 7616,9512 is 8 .
LCM of 982,3144 is 1543704.
The greatest common factor of 7616/982,9512/3144 = [GCF of 7616,9512]/[LCM of 982,3144]= 8/1543704
Therefore, the GCF of 7616/982,9512/3144 is 8/1543704.
To find the highest common factor of 7616,9512, we have to find the factors of both numbers and list the highest common factor.
The factors of 7616 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616
The factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512
The HCF of 7616,9512 is 8.
Lets's calculate GCF of 7616,9512
| 2 | 7616, 9512 |
| 2 | 3808, 4756 |
| 2 | 1904, 2378 |
| 952, 1189 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7616,9512 By Matching Biggest Common Factor Method
Now, list down the factors of 7616
:1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616
Now, list down the factors of 9512
:1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Greatest Common Factor
We found the factors 7616,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 7616,9512 is 8.
Lets's calculate LCM of 982,3144
| 2 | 982, 3144 |
| 491, 1572 |
∴ So the LCM of the given numbers is 2 x 491 x 1572 = 1543704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1543704
Therefore, the GCF of Fractions 7616/982,9512/3144 is 8/1543704
Least Common Multiple of 982,3144 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 982,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,3144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,3144) x common factors =2 x 1 = 2
LCM(982,3144) = ( 982 × 3144 ) / 2
LCM(982,3144) = 3087408 / 2
LCM(982,3144) = 1543704
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FAQs on GCF of Fractions of 7616/982, 9512/3144
1. What is the HCF of 7616,9512?
The HCF of 7616,9512 is 8
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 7616/982, 9512/3144?
Answer: GCF of Numerators as per given numbers 7616/982, 9512/3144 is
GCF of Numerators i.e. for 7616,9512 is 8
LCM of denominators i.e. for 982,3144 is 1543704.
Thus, GCF of Fractions is 8/1543704.Finally, GCF of Fractions for 7616/982, 9512/3144 is 8/1543704.