GCF of 7266/389, 4154/7705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7266/389, 4154/7705 i.e 2/2997245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7266/389, 4154/7705.
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 7266/389,4154/7705?
Given fractions are 7266/389,4154/7705
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 7266/389,4154/7705, numerators are 7266,4154
Denominators are 389,7705
The GCF of 7266,4154 is 2 .
LCM of 389,7705 is 2997245.
The greatest common factor of 7266/389,4154/7705 = [GCF of 7266,4154]/[LCM of 389,7705]= 2/2997245
Therefore, the GCF of 7266/389,4154/7705 is 2/2997245.
To find the highest common factor of 7266,4154, we have to find the factors of both numbers and list the highest common factor.
The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154
The HCF of 7266,4154 is 2.
Lets's calculate GCF of 7266,4154
| 2 | 7266, 4154 |
| 3633, 2077 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7266,4154 By Matching Biggest Common Factor Method
Now, list down the factors of 7266
:1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Now, list down the factors of 4154
:1,2,31,62,67,134,2077,4154
Greatest Common Factor
We found the factors 7266,4154 . The biggest common factor number is the GCF number.
So the greatest common factor 7266,4154 is 2.
Lets's calculate LCM of 389,7705
Given numbers has no common factors except 1. So, there LCM is their product i.e 2997245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2997245
Therefore, the GCF of Fractions 7266/389,4154/7705 is 2/2997245
Least Common Multiple of 389,7705 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 389,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7705) x common factors =1 x 1 = 1
LCM(389,7705) = ( 389 × 7705 ) / 1
LCM(389,7705) = 2997245 / 1
LCM(389,7705) = 2997245
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FAQs on GCF of Fractions of 7266/389, 4154/7705
1. What is the HCF of 7266,4154?
The HCF of 7266,4154 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 7266/389, 4154/7705?
Answer: GCF of Numerators as per given numbers 7266/389, 4154/7705 is
GCF of Numerators i.e. for 7266,4154 is 2
LCM of denominators i.e. for 389,7705 is 2997245.
Thus, GCF of Fractions is 2/2997245.Finally, GCF of Fractions for 7266/389, 4154/7705 is 2/2997245.