GCF of 3952/478, 1535/7716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3952/478, 1535/7716 i.e 1/1844124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3952/478, 1535/7716.
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 3952/478,1535/7716?
Given fractions are 3952/478,1535/7716
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 3952/478,1535/7716, numerators are 3952,1535
Denominators are 478,7716
The GCF of 3952,1535 is 1 .
LCM of 478,7716 is 1844124.
The greatest common factor of 3952/478,1535/7716 = [GCF of 3952,1535]/[LCM of 478,7716]= 1/1844124
Therefore, the GCF of 3952/478,1535/7716 is 1/1844124.
To find the highest common factor of 3952,1535, we have to find the factors of both numbers and list the highest common factor.
The factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952
The factors of 1535 are 1, 5, 307, 1535
The HCF of 3952,1535 is 1.
Lets's calculate GCF of 3952,1535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3952,1535 By Matching Biggest Common Factor Method
Now, list down the factors of 3952
:1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Now, list down the factors of 1535
:1,5,307,1535
Greatest Common Factor
We found the factors 3952,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 3952,1535 is 1.
Lets's calculate LCM of 478,7716
| 2 | 478, 7716 |
| 239, 3858 |
∴ So the LCM of the given numbers is 2 x 239 x 3858 = 1844124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1844124
Therefore, the GCF of Fractions 3952/478,1535/7716 is 1/1844124
Least Common Multiple of 478,7716 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 478,7716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7716) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7716) x common factors =2 x 1 = 2
LCM(478,7716) = ( 478 × 7716 ) / 2
LCM(478,7716) = 3688248 / 2
LCM(478,7716) = 1844124
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FAQs on GCF of Fractions of 3952/478, 1535/7716
1. What is the HCF of 3952,1535?
The HCF of 3952,1535 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 3952/478, 1535/7716?
Answer: GCF of Numerators as per given numbers 3952/478, 1535/7716 is
GCF of Numerators i.e. for 3952,1535 is 1
LCM of denominators i.e. for 478,7716 is 1844124.
Thus, GCF of Fractions is 1/1844124.Finally, GCF of Fractions for 3952/478, 1535/7716 is 1/1844124.