GCF of 3142/408, 7352/1078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3142/408, 7352/1078 i.e 2/219912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3142/408, 7352/1078.
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 3142/408,7352/1078?
Given fractions are 3142/408,7352/1078
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 3142/408,7352/1078, numerators are 3142,7352
Denominators are 408,1078
The GCF of 3142,7352 is 2 .
LCM of 408,1078 is 219912.
The greatest common factor of 3142/408,7352/1078 = [GCF of 3142,7352]/[LCM of 408,1078]= 2/219912
Therefore, the GCF of 3142/408,7352/1078 is 2/219912.
To find the highest common factor of 3142,7352, we have to find the factors of both numbers and list the highest common factor.
The factors of 3142 are 1, 2, 1571, 3142
The factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352
The HCF of 3142,7352 is 2.
Lets's calculate GCF of 3142,7352
| 2 | 3142, 7352 |
| 1571, 3676 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3142,7352 By Matching Biggest Common Factor Method
Now, list down the factors of 3142
:1,2,1571,3142
Now, list down the factors of 7352
:1,2,4,8,919,1838,3676,7352
Greatest Common Factor
We found the factors 3142,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 3142,7352 is 2.
Lets's calculate LCM of 408,1078
| 2 | 408, 1078 |
| 204, 539 |
∴ So the LCM of the given numbers is 2 x 204 x 539 = 219912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219912
Therefore, the GCF of Fractions 3142/408,7352/1078 is 2/219912
Least Common Multiple of 408,1078 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 408,1078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,1078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(408,1078) x common factors =2 x 1 = 2
LCM(408,1078) = ( 408 × 1078 ) / 2
LCM(408,1078) = 439824 / 2
LCM(408,1078) = 219912
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FAQs on GCF of Fractions of 3142/408, 7352/1078
1. What is the HCF of 3142,7352?
The HCF of 3142,7352 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 3142/408, 7352/1078?
Answer: GCF of Numerators as per given numbers 3142/408, 7352/1078 is
GCF of Numerators i.e. for 3142,7352 is 2
LCM of denominators i.e. for 408,1078 is 219912.
Thus, GCF of Fractions is 2/219912.Finally, GCF of Fractions for 3142/408, 7352/1078 is 2/219912.