GCF of 2546/914, 4578/3430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2546/914, 4578/3430 i.e 2/1567510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2546/914, 4578/3430.
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 2546/914,4578/3430?
Given fractions are 2546/914,4578/3430
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 2546/914,4578/3430, numerators are 2546,4578
Denominators are 914,3430
The GCF of 2546,4578 is 2 .
LCM of 914,3430 is 1567510.
The greatest common factor of 2546/914,4578/3430 = [GCF of 2546,4578]/[LCM of 914,3430]= 2/1567510
Therefore, the GCF of 2546/914,4578/3430 is 2/1567510.
To find the highest common factor of 2546,4578, we have to find the factors of both numbers and list the highest common factor.
The factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546
The factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578
The HCF of 2546,4578 is 2.
Lets's calculate GCF of 2546,4578
| 2 | 2546, 4578 |
| 1273, 2289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2546,4578 By Matching Biggest Common Factor Method
Now, list down the factors of 2546
:1,2,19,38,67,134,1273,2546
Now, list down the factors of 4578
:1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578
Greatest Common Factor
We found the factors 2546,4578 . The biggest common factor number is the GCF number.
So the greatest common factor 2546,4578 is 2.
Lets's calculate LCM of 914,3430
| 2 | 914, 3430 |
| 457, 1715 |
∴ So the LCM of the given numbers is 2 x 457 x 1715 = 1567510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1567510
Therefore, the GCF of Fractions 2546/914,4578/3430 is 2/1567510
Least Common Multiple of 914,3430 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 914,3430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,3430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,3430) x common factors =2 x 1 = 2
LCM(914,3430) = ( 914 × 3430 ) / 2
LCM(914,3430) = 3135020 / 2
LCM(914,3430) = 1567510
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FAQs on GCF of Fractions of 2546/914, 4578/3430
1. What is the HCF of 2546,4578?
The HCF of 2546,4578 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 2546/914, 4578/3430?
Answer: GCF of Numerators as per given numbers 2546/914, 4578/3430 is
GCF of Numerators i.e. for 2546,4578 is 2
LCM of denominators i.e. for 914,3430 is 1567510.
Thus, GCF of Fractions is 2/1567510.Finally, GCF of Fractions for 2546/914, 4578/3430 is 2/1567510.