GCF of 7552/508, 8821/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7552/508, 8821/120 i.e 1/15240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7552/508, 8821/120.
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 7552/508,8821/120?
Given fractions are 7552/508,8821/120
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 7552/508,8821/120, numerators are 7552,8821
Denominators are 508,120
The GCF of 7552,8821 is 1 .
LCM of 508,120 is 15240.
The greatest common factor of 7552/508,8821/120 = [GCF of 7552,8821]/[LCM of 508,120]= 1/15240
Therefore, the GCF of 7552/508,8821/120 is 1/15240.
To find the highest common factor of 7552,8821, we have to find the factors of both numbers and list the highest common factor.
The factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552
The factors of 8821 are 1, 8821
The HCF of 7552,8821 is 1.
Lets's calculate GCF of 7552,8821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7552,8821 By Matching Biggest Common Factor Method
Now, list down the factors of 7552
:1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552
Now, list down the factors of 8821
:1,8821
Greatest Common Factor
We found the factors 7552,8821 . The biggest common factor number is the GCF number.
So the greatest common factor 7552,8821 is 1.
Lets's calculate LCM of 508,120
| 2 | 508, 120 |
| 2 | 254, 60 |
| 127, 30 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 30 = 15240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15240
Therefore, the GCF of Fractions 7552/508,8821/120 is 1/15240
Least Common Multiple of 508,120 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 508,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,120) x common factors =4 x 1 = 4
LCM(508,120) = ( 508 × 120 ) / 4
LCM(508,120) = 60960 / 4
LCM(508,120) = 15240
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FAQs on GCF of Fractions of 7552/508, 8821/120
1. What is the HCF of 7552,8821?
The HCF of 7552,8821 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 7552/508, 8821/120?
Answer: GCF of Numerators as per given numbers 7552/508, 8821/120 is
GCF of Numerators i.e. for 7552,8821 is 1
LCM of denominators i.e. for 508,120 is 15240.
Thus, GCF of Fractions is 1/15240.Finally, GCF of Fractions for 7552/508, 8821/120 is 1/15240.