GCF of 7418/119, 7094/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7418/119, 7094/126 i.e 2/2142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7418/119, 7094/126.
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 7418/119,7094/126?
Given fractions are 7418/119,7094/126
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 7418/119,7094/126, numerators are 7418,7094
Denominators are 119,126
The GCF of 7418,7094 is 2 .
LCM of 119,126 is 2142.
The greatest common factor of 7418/119,7094/126 = [GCF of 7418,7094]/[LCM of 119,126]= 2/2142
Therefore, the GCF of 7418/119,7094/126 is 2/2142.
To find the highest common factor of 7418,7094, we have to find the factors of both numbers and list the highest common factor.
The factors of 7418 are 1, 2, 3709, 7418
The factors of 7094 are 1, 2, 3547, 7094
The HCF of 7418,7094 is 2.
Lets's calculate GCF of 7418,7094
| 2 | 7418, 7094 |
| 3709, 3547 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7418,7094 By Matching Biggest Common Factor Method
Now, list down the factors of 7418
:1,2,3709,7418
Now, list down the factors of 7094
:1,2,3547,7094
Greatest Common Factor
We found the factors 7418,7094 . The biggest common factor number is the GCF number.
So the greatest common factor 7418,7094 is 2.
Lets's calculate LCM of 119,126
| 7 | 119, 126 |
| 17, 18 |
∴ So the LCM of the given numbers is 7 x 17 x 18 = 2142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2142
Therefore, the GCF of Fractions 7418/119,7094/126 is 2/2142
Least Common Multiple of 119,126 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 119,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,126) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,126) x common factors =7 x 1 = 7
LCM(119,126) = ( 119 × 126 ) / 7
LCM(119,126) = 14994 / 7
LCM(119,126) = 2142
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FAQs on GCF of Fractions of 7418/119, 7094/126
1. What is the HCF of 7418,7094?
The HCF of 7418,7094 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 7418/119, 7094/126?
Answer: GCF of Numerators as per given numbers 7418/119, 7094/126 is
GCF of Numerators i.e. for 7418,7094 is 2
LCM of denominators i.e. for 119,126 is 2142.
Thus, GCF of Fractions is 2/2142.Finally, GCF of Fractions for 7418/119, 7094/126 is 2/2142.