GCF of 9154/346, 7668/4538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9154/346, 7668/4538 i.e 2/785074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9154/346, 7668/4538.
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 9154/346,7668/4538?
Given fractions are 9154/346,7668/4538
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 9154/346,7668/4538, numerators are 9154,7668
Denominators are 346,4538
The GCF of 9154,7668 is 2 .
LCM of 346,4538 is 785074.
The greatest common factor of 9154/346,7668/4538 = [GCF of 9154,7668]/[LCM of 346,4538]= 2/785074
Therefore, the GCF of 9154/346,7668/4538 is 2/785074.
To find the highest common factor of 9154,7668, we have to find the factors of both numbers and list the highest common factor.
The factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154
The factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
The HCF of 9154,7668 is 2.
Lets's calculate GCF of 9154,7668
| 2 | 9154, 7668 |
| 4577, 3834 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9154,7668 By Matching Biggest Common Factor Method
Now, list down the factors of 9154
:1,2,23,46,199,398,4577,9154
Now, list down the factors of 7668
:1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Greatest Common Factor
We found the factors 9154,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 9154,7668 is 2.
Lets's calculate LCM of 346,4538
| 2 | 346, 4538 |
| 173, 2269 |
∴ So the LCM of the given numbers is 2 x 173 x 2269 = 785074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/785074
Therefore, the GCF of Fractions 9154/346,7668/4538 is 2/785074
Least Common Multiple of 346,4538 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 346,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,4538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,4538) x common factors =2 x 1 = 2
LCM(346,4538) = ( 346 × 4538 ) / 2
LCM(346,4538) = 1570148 / 2
LCM(346,4538) = 785074
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FAQs on GCF of Fractions of 9154/346, 7668/4538
1. What is the HCF of 9154,7668?
The HCF of 9154,7668 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 9154/346, 7668/4538?
Answer: GCF of Numerators as per given numbers 9154/346, 7668/4538 is
GCF of Numerators i.e. for 9154,7668 is 2
LCM of denominators i.e. for 346,4538 is 785074.
Thus, GCF of Fractions is 2/785074.Finally, GCF of Fractions for 9154/346, 7668/4538 is 2/785074.