GCF of 3157/374, 9408/7848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3157/374, 9408/7848 i.e 7/1467576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3157/374, 9408/7848.
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 3157/374,9408/7848?
Given fractions are 3157/374,9408/7848
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 3157/374,9408/7848, numerators are 3157,9408
Denominators are 374,7848
The GCF of 3157,9408 is 7 .
LCM of 374,7848 is 1467576.
The greatest common factor of 3157/374,9408/7848 = [GCF of 3157,9408]/[LCM of 374,7848]= 7/1467576
Therefore, the GCF of 3157/374,9408/7848 is 7/1467576.
To find the highest common factor of 3157,9408, we have to find the factors of both numbers and list the highest common factor.
The factors of 3157 are 1, 7, 11, 41, 77, 287, 451, 3157
The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408
The HCF of 3157,9408 is 7.
Lets's calculate GCF of 3157,9408
| 7 | 3157, 9408 |
| 451, 1344 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3157,9408 By Matching Biggest Common Factor Method
Now, list down the factors of 3157
:1,7,11,41,77,287,451,3157
Now, list down the factors of 9408
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Greatest Common Factor
We found the factors 3157,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 3157,9408 is 7.
Lets's calculate LCM of 374,7848
| 2 | 374, 7848 |
| 187, 3924 |
∴ So the LCM of the given numbers is 2 x 187 x 3924 = 1467576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1467576
Therefore, the GCF of Fractions 3157/374,9408/7848 is 7/1467576
Least Common Multiple of 374,7848 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 374,7848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,7848) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,7848) x common factors =2 x 1 = 2
LCM(374,7848) = ( 374 × 7848 ) / 2
LCM(374,7848) = 2935152 / 2
LCM(374,7848) = 1467576
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FAQs on GCF of Fractions of 3157/374, 9408/7848
1. What is the HCF of 3157,9408?
The HCF of 3157,9408 is 7
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 3157/374, 9408/7848?
Answer: GCF of Numerators as per given numbers 3157/374, 9408/7848 is
GCF of Numerators i.e. for 3157,9408 is 7
LCM of denominators i.e. for 374,7848 is 1467576.
Thus, GCF of Fractions is 7/1467576.Finally, GCF of Fractions for 3157/374, 9408/7848 is 7/1467576.