GCF of 3114/124, 9577/1624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3114/124, 9577/1624 i.e 1/50344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3114/124, 9577/1624.
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 3114/124,9577/1624?
Given fractions are 3114/124,9577/1624
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 3114/124,9577/1624, numerators are 3114,9577
Denominators are 124,1624
The GCF of 3114,9577 is 1 .
LCM of 124,1624 is 50344.
The greatest common factor of 3114/124,9577/1624 = [GCF of 3114,9577]/[LCM of 124,1624]= 1/50344
Therefore, the GCF of 3114/124,9577/1624 is 1/50344.
To find the highest common factor of 3114,9577, we have to find the factors of both numbers and list the highest common factor.
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The factors of 9577 are 1, 61, 157, 9577
The HCF of 3114,9577 is 1.
Lets's calculate GCF of 3114,9577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3114,9577 By Matching Biggest Common Factor Method
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Now, list down the factors of 9577
:1,61,157,9577
Greatest Common Factor
We found the factors 3114,9577 . The biggest common factor number is the GCF number.
So the greatest common factor 3114,9577 is 1.
Lets's calculate LCM of 124,1624
| 2 | 124, 1624 |
| 2 | 62, 812 |
| 31, 406 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 406 = 50344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50344
Therefore, the GCF of Fractions 3114/124,9577/1624 is 1/50344
Least Common Multiple of 124,1624 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 124,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,1624) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,1624) x common factors =4 x 1 = 4
LCM(124,1624) = ( 124 × 1624 ) / 4
LCM(124,1624) = 201376 / 4
LCM(124,1624) = 50344
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3114/124, 9577/1624
1. What is the HCF of 3114,9577?
The HCF of 3114,9577 is 1
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 3114/124, 9577/1624?
Answer: GCF of Numerators as per given numbers 3114/124, 9577/1624 is
GCF of Numerators i.e. for 3114,9577 is 1
LCM of denominators i.e. for 124,1624 is 50344.
Thus, GCF of Fractions is 1/50344.Finally, GCF of Fractions for 3114/124, 9577/1624 is 1/50344.