GCF of 9624/776, 7652/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9624/776, 7652/318 i.e 4/123384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9624/776, 7652/318.
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 9624/776,7652/318?
Given fractions are 9624/776,7652/318
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 9624/776,7652/318, numerators are 9624,7652
Denominators are 776,318
The GCF of 9624,7652 is 4 .
LCM of 776,318 is 123384.
The greatest common factor of 9624/776,7652/318 = [GCF of 9624,7652]/[LCM of 776,318]= 4/123384
Therefore, the GCF of 9624/776,7652/318 is 4/123384.
To find the highest common factor of 9624,7652, we have to find the factors of both numbers and list the highest common factor.
The factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624
The factors of 7652 are 1, 2, 4, 1913, 3826, 7652
The HCF of 9624,7652 is 4.
Lets's calculate GCF of 9624,7652
| 2 | 9624, 7652 |
| 2 | 4812, 3826 |
| 2406, 1913 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9624,7652 By Matching Biggest Common Factor Method
Now, list down the factors of 9624
:1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624
Now, list down the factors of 7652
:1,2,4,1913,3826,7652
Greatest Common Factor
We found the factors 9624,7652 . The biggest common factor number is the GCF number.
So the greatest common factor 9624,7652 is 4.
Lets's calculate LCM of 776,318
| 2 | 776, 318 |
| 388, 159 |
∴ So the LCM of the given numbers is 2 x 388 x 159 = 123384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/123384
Therefore, the GCF of Fractions 9624/776,7652/318 is 4/123384
Least Common Multiple of 776,318 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 776,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,318) x common factors =2 x 1 = 2
LCM(776,318) = ( 776 × 318 ) / 2
LCM(776,318) = 246768 / 2
LCM(776,318) = 123384
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FAQs on GCF of Fractions of 9624/776, 7652/318
1. What is the HCF of 9624,7652?
The HCF of 9624,7652 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 9624/776, 7652/318?
Answer: GCF of Numerators as per given numbers 9624/776, 7652/318 is
GCF of Numerators i.e. for 9624,7652 is 4
LCM of denominators i.e. for 776,318 is 123384.
Thus, GCF of Fractions is 4/123384.Finally, GCF of Fractions for 9624/776, 7652/318 is 4/123384.