GCF of 5114/698, 1545/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5114/698, 1545/912 i.e 1/318288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5114/698, 1545/912.
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 5114/698,1545/912?
Given fractions are 5114/698,1545/912
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 5114/698,1545/912, numerators are 5114,1545
Denominators are 698,912
The GCF of 5114,1545 is 1 .
LCM of 698,912 is 318288.
The greatest common factor of 5114/698,1545/912 = [GCF of 5114,1545]/[LCM of 698,912]= 1/318288
Therefore, the GCF of 5114/698,1545/912 is 1/318288.
To find the highest common factor of 5114,1545, we have to find the factors of both numbers and list the highest common factor.
The factors of 5114 are 1, 2, 2557, 5114
The factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545
The HCF of 5114,1545 is 1.
Lets's calculate GCF of 5114,1545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5114,1545 By Matching Biggest Common Factor Method
Now, list down the factors of 5114
:1,2,2557,5114
Now, list down the factors of 1545
:1,3,5,15,103,309,515,1545
Greatest Common Factor
We found the factors 5114,1545 . The biggest common factor number is the GCF number.
So the greatest common factor 5114,1545 is 1.
Lets's calculate LCM of 698,912
| 2 | 698, 912 |
| 349, 456 |
∴ So the LCM of the given numbers is 2 x 349 x 456 = 318288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318288
Therefore, the GCF of Fractions 5114/698,1545/912 is 1/318288
Least Common Multiple of 698,912 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 698,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,912) x common factors =2 x 1 = 2
LCM(698,912) = ( 698 × 912 ) / 2
LCM(698,912) = 636576 / 2
LCM(698,912) = 318288
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5114/698, 1545/912
1. What is the HCF of 5114,1545?
The HCF of 5114,1545 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 5114/698, 1545/912?
Answer: GCF of Numerators as per given numbers 5114/698, 1545/912 is
GCF of Numerators i.e. for 5114,1545 is 1
LCM of denominators i.e. for 698,912 is 318288.
Thus, GCF of Fractions is 1/318288.Finally, GCF of Fractions for 5114/698, 1545/912 is 1/318288.