GCF of 942/1424, 942/7461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 942/1424, 942/7461 i.e 942/10624464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/1424, 942/7461.
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 942/1424,942/7461?
Given fractions are 942/1424,942/7461
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 942/1424,942/7461, numerators are 942,942
Denominators are 1424,7461
The GCF of 942,942 is 942 .
LCM of 1424,7461 is 10624464.
The greatest common factor of 942/1424,942/7461 = [GCF of 942,942]/[LCM of 1424,7461]= 942/10624464
Therefore, the GCF of 942/1424,942/7461 is 942/10624464.
To find the highest common factor of 942,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 942,942 is 942.
Lets's calculate GCF of 942,942
| 2 | 942, 942 |
| 3 | 471, 471 |
| 157 | 157, 157 |
| 1, 1 |
∴ So the GCF of the given numbers is 2 x 3 x 157 = 942
Greatest Common Factor of 942,942 By Matching Biggest Common Factor Method
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 942,942 . The biggest common factor number is the GCF number.
So the greatest common factor 942,942 is 942.
Lets's calculate LCM of 1424,7461
Given numbers has no common factors except 1. So, there LCM is their product i.e 10624464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 942/10624464
Therefore, the GCF of Fractions 942/1424,942/7461 is 942/10624464
Least Common Multiple of 1424,7461 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 1424,7461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1424,7461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1424,7461) x common factors =1 x 1 = 1
LCM(1424,7461) = ( 1424 × 7461 ) / 1
LCM(1424,7461) = 10624464 / 1
LCM(1424,7461) = 10624464
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 942/1424, 942/7461
1. What is the HCF of 942,942?
The HCF of 942,942 is 942
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 942/1424, 942/7461?
Answer: GCF of Numerators as per given numbers 942/1424, 942/7461 is
GCF of Numerators i.e. for 942,942 is 942
LCM of denominators i.e. for 1424,7461 is 10624464.
Thus, GCF of Fractions is 942/10624464.Finally, GCF of Fractions for 942/1424, 942/7461 is 942/10624464.