GCF of 7704/632, 1315/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7704/632, 1315/758 i.e 1/239528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7704/632, 1315/758.
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 7704/632,1315/758?
Given fractions are 7704/632,1315/758
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 7704/632,1315/758, numerators are 7704,1315
Denominators are 632,758
The GCF of 7704,1315 is 1 .
LCM of 632,758 is 239528.
The greatest common factor of 7704/632,1315/758 = [GCF of 7704,1315]/[LCM of 632,758]= 1/239528
Therefore, the GCF of 7704/632,1315/758 is 1/239528.
To find the highest common factor of 7704,1315, we have to find the factors of both numbers and list the highest common factor.
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The factors of 1315 are 1, 5, 263, 1315
The HCF of 7704,1315 is 1.
Lets's calculate GCF of 7704,1315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7704,1315 By Matching Biggest Common Factor Method
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Now, list down the factors of 1315
:1,5,263,1315
Greatest Common Factor
We found the factors 7704,1315 . The biggest common factor number is the GCF number.
So the greatest common factor 7704,1315 is 1.
Lets's calculate LCM of 632,758
| 2 | 632, 758 |
| 316, 379 |
∴ So the LCM of the given numbers is 2 x 316 x 379 = 239528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239528
Therefore, the GCF of Fractions 7704/632,1315/758 is 1/239528
Least Common Multiple of 632,758 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 632,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,758) x common factors =2 x 1 = 2
LCM(632,758) = ( 632 × 758 ) / 2
LCM(632,758) = 479056 / 2
LCM(632,758) = 239528
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FAQs on GCF of Fractions of 7704/632, 1315/758
1. What is the HCF of 7704,1315?
The HCF of 7704,1315 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 7704/632, 1315/758?
Answer: GCF of Numerators as per given numbers 7704/632, 1315/758 is
GCF of Numerators i.e. for 7704,1315 is 1
LCM of denominators i.e. for 632,758 is 239528.
Thus, GCF of Fractions is 1/239528.Finally, GCF of Fractions for 7704/632, 1315/758 is 1/239528.