GCF of 6350/174, 7932/5424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6350/174, 7932/5424 i.e 2/157296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6350/174, 7932/5424.
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 6350/174,7932/5424?
Given fractions are 6350/174,7932/5424
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 6350/174,7932/5424, numerators are 6350,7932
Denominators are 174,5424
The GCF of 6350,7932 is 2 .
LCM of 174,5424 is 157296.
The greatest common factor of 6350/174,7932/5424 = [GCF of 6350,7932]/[LCM of 174,5424]= 2/157296
Therefore, the GCF of 6350/174,7932/5424 is 2/157296.
To find the highest common factor of 6350,7932, we have to find the factors of both numbers and list the highest common factor.
The factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350
The factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932
The HCF of 6350,7932 is 2.
Lets's calculate GCF of 6350,7932
| 2 | 6350, 7932 |
| 3175, 3966 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6350,7932 By Matching Biggest Common Factor Method
Now, list down the factors of 6350
:1,2,5,10,25,50,127,254,635,1270,3175,6350
Now, list down the factors of 7932
:1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 6350,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 6350,7932 is 2.
Lets's calculate LCM of 174,5424
| 2 | 174, 5424 |
| 3 | 87, 2712 |
| 29, 904 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 904 = 157296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157296
Therefore, the GCF of Fractions 6350/174,7932/5424 is 2/157296
Least Common Multiple of 174,5424 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 174,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,5424) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,5424) x common factors =6 x 1 = 6
LCM(174,5424) = ( 174 × 5424 ) / 6
LCM(174,5424) = 943776 / 6
LCM(174,5424) = 157296
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FAQs on GCF of Fractions of 6350/174, 7932/5424
1. What is the HCF of 6350,7932?
The HCF of 6350,7932 is 2
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 6350/174, 7932/5424?
Answer: GCF of Numerators as per given numbers 6350/174, 7932/5424 is
GCF of Numerators i.e. for 6350,7932 is 2
LCM of denominators i.e. for 174,5424 is 157296.
Thus, GCF of Fractions is 2/157296.Finally, GCF of Fractions for 6350/174, 7932/5424 is 2/157296.