GCF of 6132/392, 5028/3700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6132/392, 5028/3700 i.e 12/362600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6132/392, 5028/3700.
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 6132/392,5028/3700?
Given fractions are 6132/392,5028/3700
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 6132/392,5028/3700, numerators are 6132,5028
Denominators are 392,3700
The GCF of 6132,5028 is 12 .
LCM of 392,3700 is 362600.
The greatest common factor of 6132/392,5028/3700 = [GCF of 6132,5028]/[LCM of 392,3700]= 12/362600
Therefore, the GCF of 6132/392,5028/3700 is 12/362600.
To find the highest common factor of 6132,5028, we have to find the factors of both numbers and list the highest common factor.
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028
The HCF of 6132,5028 is 12.
Lets's calculate GCF of 6132,5028
| 2 | 6132, 5028 |
| 2 | 3066, 2514 |
| 3 | 1533, 1257 |
| 511, 419 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6132,5028 By Matching Biggest Common Factor Method
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Now, list down the factors of 5028
:1,2,3,4,6,12,419,838,1257,1676,2514,5028
Greatest Common Factor
We found the factors 6132,5028 . The biggest common factor number is the GCF number.
So the greatest common factor 6132,5028 is 12.
Lets's calculate LCM of 392,3700
| 2 | 392, 3700 |
| 2 | 196, 1850 |
| 98, 925 |
∴ So the LCM of the given numbers is 2 x 2 x 98 x 925 = 362600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/362600
Therefore, the GCF of Fractions 6132/392,5028/3700 is 12/362600
Least Common Multiple of 392,3700 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 392,3700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,3700) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(392,3700) x common factors =4 x 1 = 4
LCM(392,3700) = ( 392 × 3700 ) / 4
LCM(392,3700) = 1450400 / 4
LCM(392,3700) = 362600
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FAQs on GCF of Fractions of 6132/392, 5028/3700
1. What is the HCF of 6132,5028?
The HCF of 6132,5028 is 12
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 6132/392, 5028/3700?
Answer: GCF of Numerators as per given numbers 6132/392, 5028/3700 is
GCF of Numerators i.e. for 6132,5028 is 12
LCM of denominators i.e. for 392,3700 is 362600.
Thus, GCF of Fractions is 12/362600.Finally, GCF of Fractions for 6132/392, 5028/3700 is 12/362600.