GCF of 4132/748, 7832/3870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4132/748, 7832/3870 i.e 4/1447380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4132/748, 7832/3870.
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 4132/748,7832/3870?
Given fractions are 4132/748,7832/3870
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 4132/748,7832/3870, numerators are 4132,7832
Denominators are 748,3870
The GCF of 4132,7832 is 4 .
LCM of 748,3870 is 1447380.
The greatest common factor of 4132/748,7832/3870 = [GCF of 4132,7832]/[LCM of 748,3870]= 4/1447380
Therefore, the GCF of 4132/748,7832/3870 is 4/1447380.
To find the highest common factor of 4132,7832, we have to find the factors of both numbers and list the highest common factor.
The factors of 4132 are 1, 2, 4, 1033, 2066, 4132
The factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832
The HCF of 4132,7832 is 4.
Lets's calculate GCF of 4132,7832
| 2 | 4132, 7832 |
| 2 | 2066, 3916 |
| 1033, 1958 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4132,7832 By Matching Biggest Common Factor Method
Now, list down the factors of 4132
:1,2,4,1033,2066,4132
Now, list down the factors of 7832
:1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Greatest Common Factor
We found the factors 4132,7832 . The biggest common factor number is the GCF number.
So the greatest common factor 4132,7832 is 4.
Lets's calculate LCM of 748,3870
| 2 | 748, 3870 |
| 374, 1935 |
∴ So the LCM of the given numbers is 2 x 374 x 1935 = 1447380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1447380
Therefore, the GCF of Fractions 4132/748,7832/3870 is 4/1447380
Least Common Multiple of 748,3870 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 748,3870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,3870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,3870) x common factors =2 x 1 = 2
LCM(748,3870) = ( 748 × 3870 ) / 2
LCM(748,3870) = 2894760 / 2
LCM(748,3870) = 1447380
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FAQs on GCF of Fractions of 4132/748, 7832/3870
1. What is the HCF of 4132,7832?
The HCF of 4132,7832 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 4132/748, 7832/3870?
Answer: GCF of Numerators as per given numbers 4132/748, 7832/3870 is
GCF of Numerators i.e. for 4132,7832 is 4
LCM of denominators i.e. for 748,3870 is 1447380.
Thus, GCF of Fractions is 4/1447380.Finally, GCF of Fractions for 4132/748, 7832/3870 is 4/1447380.