GCF of 2307/774, 1246/5498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2307/774, 1246/5498 i.e 1/2127726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2307/774, 1246/5498.
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 2307/774,1246/5498?
Given fractions are 2307/774,1246/5498
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 2307/774,1246/5498, numerators are 2307,1246
Denominators are 774,5498
The GCF of 2307,1246 is 1 .
LCM of 774,5498 is 2127726.
The greatest common factor of 2307/774,1246/5498 = [GCF of 2307,1246]/[LCM of 774,5498]= 1/2127726
Therefore, the GCF of 2307/774,1246/5498 is 1/2127726.
To find the highest common factor of 2307,1246, we have to find the factors of both numbers and list the highest common factor.
The factors of 2307 are 1, 3, 769, 2307
The factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246
The HCF of 2307,1246 is 1.
Lets's calculate GCF of 2307,1246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2307,1246 By Matching Biggest Common Factor Method
Now, list down the factors of 2307
:1,3,769,2307
Now, list down the factors of 1246
:1,2,7,14,89,178,623,1246
Greatest Common Factor
We found the factors 2307,1246 . The biggest common factor number is the GCF number.
So the greatest common factor 2307,1246 is 1.
Lets's calculate LCM of 774,5498
| 2 | 774, 5498 |
| 387, 2749 |
∴ So the LCM of the given numbers is 2 x 387 x 2749 = 2127726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2127726
Therefore, the GCF of Fractions 2307/774,1246/5498 is 1/2127726
Least Common Multiple of 774,5498 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 774,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,5498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,5498) x common factors =2 x 1 = 2
LCM(774,5498) = ( 774 × 5498 ) / 2
LCM(774,5498) = 4255452 / 2
LCM(774,5498) = 2127726
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FAQs on GCF of Fractions of 2307/774, 1246/5498
1. What is the HCF of 2307,1246?
The HCF of 2307,1246 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 2307/774, 1246/5498?
Answer: GCF of Numerators as per given numbers 2307/774, 1246/5498 is
GCF of Numerators i.e. for 2307,1246 is 1
LCM of denominators i.e. for 774,5498 is 2127726.
Thus, GCF of Fractions is 1/2127726.Finally, GCF of Fractions for 2307/774, 1246/5498 is 1/2127726.