GCF of 310/956, 7104/1382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 310/956, 7104/1382 i.e 2/660596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/956, 7104/1382.
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 310/956,7104/1382?
Given fractions are 310/956,7104/1382
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 310/956,7104/1382, numerators are 310,7104
Denominators are 956,1382
The GCF of 310,7104 is 2 .
LCM of 956,1382 is 660596.
The greatest common factor of 310/956,7104/1382 = [GCF of 310,7104]/[LCM of 956,1382]= 2/660596
Therefore, the GCF of 310/956,7104/1382 is 2/660596.
To find the highest common factor of 310,7104, we have to find the factors of both numbers and list the highest common factor.
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104
The HCF of 310,7104 is 2.
Lets's calculate GCF of 310,7104
| 2 | 310, 7104 |
| 155, 3552 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 310,7104 By Matching Biggest Common Factor Method
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 7104
:1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104
Greatest Common Factor
We found the factors 310,7104 . The biggest common factor number is the GCF number.
So the greatest common factor 310,7104 is 2.
Lets's calculate LCM of 956,1382
| 2 | 956, 1382 |
| 478, 691 |
∴ So the LCM of the given numbers is 2 x 478 x 691 = 660596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/660596
Therefore, the GCF of Fractions 310/956,7104/1382 is 2/660596
Least Common Multiple of 956,1382 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 956,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,1382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(956,1382) x common factors =2 x 1 = 2
LCM(956,1382) = ( 956 × 1382 ) / 2
LCM(956,1382) = 1321192 / 2
LCM(956,1382) = 660596
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FAQs on GCF of Fractions of 310/956, 7104/1382
1. What is the HCF of 310,7104?
The HCF of 310,7104 is 2
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 310/956, 7104/1382?
Answer: GCF of Numerators as per given numbers 310/956, 7104/1382 is
GCF of Numerators i.e. for 310,7104 is 2
LCM of denominators i.e. for 956,1382 is 660596.
Thus, GCF of Fractions is 2/660596.Finally, GCF of Fractions for 310/956, 7104/1382 is 2/660596.