GCF of 7402/679, 2114/8342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7402/679, 2114/8342 i.e 2/58394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7402/679, 2114/8342.
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 7402/679,2114/8342?
Given fractions are 7402/679,2114/8342
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 7402/679,2114/8342, numerators are 7402,2114
Denominators are 679,8342
The GCF of 7402,2114 is 2 .
LCM of 679,8342 is 58394.
The greatest common factor of 7402/679,2114/8342 = [GCF of 7402,2114]/[LCM of 679,8342]= 2/58394
Therefore, the GCF of 7402/679,2114/8342 is 2/58394.
To find the highest common factor of 7402,2114, we have to find the factors of both numbers and list the highest common factor.
The factors of 7402 are 1, 2, 3701, 7402
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The HCF of 7402,2114 is 2.
Lets's calculate GCF of 7402,2114
| 2 | 7402, 2114 |
| 3701, 1057 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7402,2114 By Matching Biggest Common Factor Method
Now, list down the factors of 7402
:1,2,3701,7402
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 7402,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 7402,2114 is 2.
Lets's calculate LCM of 679,8342
| 97 | 679, 8342 |
| 7, 86 |
∴ So the LCM of the given numbers is 97 x 7 x 86 = 58394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58394
Therefore, the GCF of Fractions 7402/679,2114/8342 is 2/58394
Least Common Multiple of 679,8342 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 679,8342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,8342) = 97
common factors(in case of two or more numbers have common factors) = 1
GCF(679,8342) x common factors =97 x 1 = 97
LCM(679,8342) = ( 679 × 8342 ) / 97
LCM(679,8342) = 5664218 / 97
LCM(679,8342) = 58394
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FAQs on GCF of Fractions of 7402/679, 2114/8342
1. What is the HCF of 7402,2114?
The HCF of 7402,2114 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 7402/679, 2114/8342?
Answer: GCF of Numerators as per given numbers 7402/679, 2114/8342 is
GCF of Numerators i.e. for 7402,2114 is 2
LCM of denominators i.e. for 679,8342 is 58394.
Thus, GCF of Fractions is 2/58394.Finally, GCF of Fractions for 7402/679, 2114/8342 is 2/58394.