GCF of 5014/674, 5294/1331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5014/674, 5294/1331 i.e 2/897094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5014/674, 5294/1331.
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 5014/674,5294/1331?
Given fractions are 5014/674,5294/1331
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 5014/674,5294/1331, numerators are 5014,5294
Denominators are 674,1331
The GCF of 5014,5294 is 2 .
LCM of 674,1331 is 897094.
The greatest common factor of 5014/674,5294/1331 = [GCF of 5014,5294]/[LCM of 674,1331]= 2/897094
Therefore, the GCF of 5014/674,5294/1331 is 2/897094.
To find the highest common factor of 5014,5294, we have to find the factors of both numbers and list the highest common factor.
The factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014
The factors of 5294 are 1, 2, 2647, 5294
The HCF of 5014,5294 is 2.
Lets's calculate GCF of 5014,5294
| 2 | 5014, 5294 |
| 2507, 2647 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5014,5294 By Matching Biggest Common Factor Method
Now, list down the factors of 5014
:1,2,23,46,109,218,2507,5014
Now, list down the factors of 5294
:1,2,2647,5294
Greatest Common Factor
We found the factors 5014,5294 . The biggest common factor number is the GCF number.
So the greatest common factor 5014,5294 is 2.
Lets's calculate LCM of 674,1331
Given numbers has no common factors except 1. So, there LCM is their product i.e 897094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/897094
Therefore, the GCF of Fractions 5014/674,5294/1331 is 2/897094
Least Common Multiple of 674,1331 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 674,1331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,1331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,1331) x common factors =1 x 1 = 1
LCM(674,1331) = ( 674 × 1331 ) / 1
LCM(674,1331) = 897094 / 1
LCM(674,1331) = 897094
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FAQs on GCF of Fractions of 5014/674, 5294/1331
1. What is the HCF of 5014,5294?
The HCF of 5014,5294 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 5014/674, 5294/1331?
Answer: GCF of Numerators as per given numbers 5014/674, 5294/1331 is
GCF of Numerators i.e. for 5014,5294 is 2
LCM of denominators i.e. for 674,1331 is 897094.
Thus, GCF of Fractions is 2/897094.Finally, GCF of Fractions for 5014/674, 5294/1331 is 2/897094.