GCF of 4992/138, 6942/4282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4992/138, 6942/4282 i.e 78/295458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4992/138, 6942/4282.
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 4992/138,6942/4282?
Given fractions are 4992/138,6942/4282
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 4992/138,6942/4282, numerators are 4992,6942
Denominators are 138,4282
The GCF of 4992,6942 is 78 .
LCM of 138,4282 is 295458.
The greatest common factor of 4992/138,6942/4282 = [GCF of 4992,6942]/[LCM of 138,4282]= 78/295458
Therefore, the GCF of 4992/138,6942/4282 is 78/295458.
To find the highest common factor of 4992,6942, we have to find the factors of both numbers and list the highest common factor.
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992
The factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942
The HCF of 4992,6942 is 78.
Lets's calculate GCF of 4992,6942
| 2 | 4992, 6942 |
| 3 | 2496, 3471 |
| 13 | 832, 1157 |
| 64, 89 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 4992,6942 By Matching Biggest Common Factor Method
Now, list down the factors of 4992
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Now, list down the factors of 6942
:1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Greatest Common Factor
We found the factors 4992,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 4992,6942 is 78.
Lets's calculate LCM of 138,4282
| 2 | 138, 4282 |
| 69, 2141 |
∴ So the LCM of the given numbers is 2 x 69 x 2141 = 295458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/295458
Therefore, the GCF of Fractions 4992/138,6942/4282 is 78/295458
Least Common Multiple of 138,4282 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 138,4282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,4282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,4282) x common factors =2 x 1 = 2
LCM(138,4282) = ( 138 × 4282 ) / 2
LCM(138,4282) = 590916 / 2
LCM(138,4282) = 295458
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FAQs on GCF of Fractions of 4992/138, 6942/4282
1. What is the HCF of 4992,6942?
The HCF of 4992,6942 is 78
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 4992/138, 6942/4282?
Answer: GCF of Numerators as per given numbers 4992/138, 6942/4282 is
GCF of Numerators i.e. for 4992,6942 is 78
LCM of denominators i.e. for 138,4282 is 295458.
Thus, GCF of Fractions is 78/295458.Finally, GCF of Fractions for 4992/138, 6942/4282 is 78/295458.