GCF of 3792/424, 7124/2558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3792/424, 7124/2558 i.e 4/542296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3792/424, 7124/2558.
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 3792/424,7124/2558?
Given fractions are 3792/424,7124/2558
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 3792/424,7124/2558, numerators are 3792,7124
Denominators are 424,2558
The GCF of 3792,7124 is 4 .
LCM of 424,2558 is 542296.
The greatest common factor of 3792/424,7124/2558 = [GCF of 3792,7124]/[LCM of 424,2558]= 4/542296
Therefore, the GCF of 3792/424,7124/2558 is 4/542296.
To find the highest common factor of 3792,7124, we have to find the factors of both numbers and list the highest common factor.
The factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The HCF of 3792,7124 is 4.
Lets's calculate GCF of 3792,7124
| 2 | 3792, 7124 |
| 2 | 1896, 3562 |
| 948, 1781 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3792,7124 By Matching Biggest Common Factor Method
Now, list down the factors of 3792
:1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 3792,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 3792,7124 is 4.
Lets's calculate LCM of 424,2558
| 2 | 424, 2558 |
| 212, 1279 |
∴ So the LCM of the given numbers is 2 x 212 x 1279 = 542296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/542296
Therefore, the GCF of Fractions 3792/424,7124/2558 is 4/542296
Least Common Multiple of 424,2558 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 424,2558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,2558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,2558) x common factors =2 x 1 = 2
LCM(424,2558) = ( 424 × 2558 ) / 2
LCM(424,2558) = 1084592 / 2
LCM(424,2558) = 542296
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3792/424, 7124/2558
1. What is the HCF of 3792,7124?
The HCF of 3792,7124 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 3792/424, 7124/2558?
Answer: GCF of Numerators as per given numbers 3792/424, 7124/2558 is
GCF of Numerators i.e. for 3792,7124 is 4
LCM of denominators i.e. for 424,2558 is 542296.
Thus, GCF of Fractions is 4/542296.Finally, GCF of Fractions for 3792/424, 7124/2558 is 4/542296.