GCF of 1294/774, 9462/5876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1294/774, 9462/5876 i.e 2/2274012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1294/774, 9462/5876.
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 1294/774,9462/5876?
Given fractions are 1294/774,9462/5876
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 1294/774,9462/5876, numerators are 1294,9462
Denominators are 774,5876
The GCF of 1294,9462 is 2 .
LCM of 774,5876 is 2274012.
The greatest common factor of 1294/774,9462/5876 = [GCF of 1294,9462]/[LCM of 774,5876]= 2/2274012
Therefore, the GCF of 1294/774,9462/5876 is 2/2274012.
To find the highest common factor of 1294,9462, we have to find the factors of both numbers and list the highest common factor.
The factors of 1294 are 1, 2, 647, 1294
The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462
The HCF of 1294,9462 is 2.
Lets's calculate GCF of 1294,9462
| 2 | 1294, 9462 |
| 647, 4731 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1294,9462 By Matching Biggest Common Factor Method
Now, list down the factors of 1294
:1,2,647,1294
Now, list down the factors of 9462
:1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Greatest Common Factor
We found the factors 1294,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 1294,9462 is 2.
Lets's calculate LCM of 774,5876
| 2 | 774, 5876 |
| 387, 2938 |
∴ So the LCM of the given numbers is 2 x 387 x 2938 = 2274012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2274012
Therefore, the GCF of Fractions 1294/774,9462/5876 is 2/2274012
Least Common Multiple of 774,5876 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 774,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,5876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,5876) x common factors =2 x 1 = 2
LCM(774,5876) = ( 774 × 5876 ) / 2
LCM(774,5876) = 4548024 / 2
LCM(774,5876) = 2274012
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FAQs on GCF of Fractions of 1294/774, 9462/5876
1. What is the HCF of 1294,9462?
The HCF of 1294,9462 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 1294/774, 9462/5876?
Answer: GCF of Numerators as per given numbers 1294/774, 9462/5876 is
GCF of Numerators i.e. for 1294,9462 is 2
LCM of denominators i.e. for 774,5876 is 2274012.
Thus, GCF of Fractions is 2/2274012.Finally, GCF of Fractions for 1294/774, 9462/5876 is 2/2274012.