GCF of 7442/414, 6134/8988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7442/414, 6134/8988 i.e 2/620172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7442/414, 6134/8988.
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 7442/414,6134/8988?
Given fractions are 7442/414,6134/8988
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 7442/414,6134/8988, numerators are 7442,6134
Denominators are 414,8988
The GCF of 7442,6134 is 2 .
LCM of 414,8988 is 620172.
The greatest common factor of 7442/414,6134/8988 = [GCF of 7442,6134]/[LCM of 414,8988]= 2/620172
Therefore, the GCF of 7442/414,6134/8988 is 2/620172.
To find the highest common factor of 7442,6134, we have to find the factors of both numbers and list the highest common factor.
The factors of 7442 are 1, 2, 61, 122, 3721, 7442
The factors of 6134 are 1, 2, 3067, 6134
The HCF of 7442,6134 is 2.
Lets's calculate GCF of 7442,6134
| 2 | 7442, 6134 |
| 3721, 3067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7442,6134 By Matching Biggest Common Factor Method
Now, list down the factors of 7442
:1,2,61,122,3721,7442
Now, list down the factors of 6134
:1,2,3067,6134
Greatest Common Factor
We found the factors 7442,6134 . The biggest common factor number is the GCF number.
So the greatest common factor 7442,6134 is 2.
Lets's calculate LCM of 414,8988
| 2 | 414, 8988 |
| 3 | 207, 4494 |
| 69, 1498 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 1498 = 620172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/620172
Therefore, the GCF of Fractions 7442/414,6134/8988 is 2/620172
Least Common Multiple of 414,8988 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 414,8988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,8988) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,8988) x common factors =6 x 1 = 6
LCM(414,8988) = ( 414 × 8988 ) / 6
LCM(414,8988) = 3721032 / 6
LCM(414,8988) = 620172
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FAQs on GCF of Fractions of 7442/414, 6134/8988
1. What is the HCF of 7442,6134?
The HCF of 7442,6134 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 7442/414, 6134/8988?
Answer: GCF of Numerators as per given numbers 7442/414, 6134/8988 is
GCF of Numerators i.e. for 7442,6134 is 2
LCM of denominators i.e. for 414,8988 is 620172.
Thus, GCF of Fractions is 2/620172.Finally, GCF of Fractions for 7442/414, 6134/8988 is 2/620172.