GCF of 1514/842, 4997/7228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1514/842, 4997/7228 i.e 1/3042988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1514/842, 4997/7228.
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 1514/842,4997/7228?
Given fractions are 1514/842,4997/7228
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 1514/842,4997/7228, numerators are 1514,4997
Denominators are 842,7228
The GCF of 1514,4997 is 1 .
LCM of 842,7228 is 3042988.
The greatest common factor of 1514/842,4997/7228 = [GCF of 1514,4997]/[LCM of 842,7228]= 1/3042988
Therefore, the GCF of 1514/842,4997/7228 is 1/3042988.
To find the highest common factor of 1514,4997, we have to find the factors of both numbers and list the highest common factor.
The factors of 1514 are 1, 2, 757, 1514
The factors of 4997 are 1, 19, 263, 4997
The HCF of 1514,4997 is 1.
Lets's calculate GCF of 1514,4997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1514,4997 By Matching Biggest Common Factor Method
Now, list down the factors of 1514
:1,2,757,1514
Now, list down the factors of 4997
:1,19,263,4997
Greatest Common Factor
We found the factors 1514,4997 . The biggest common factor number is the GCF number.
So the greatest common factor 1514,4997 is 1.
Lets's calculate LCM of 842,7228
| 2 | 842, 7228 |
| 421, 3614 |
∴ So the LCM of the given numbers is 2 x 421 x 3614 = 3042988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3042988
Therefore, the GCF of Fractions 1514/842,4997/7228 is 1/3042988
Least Common Multiple of 842,7228 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 842,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,7228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,7228) x common factors =2 x 1 = 2
LCM(842,7228) = ( 842 × 7228 ) / 2
LCM(842,7228) = 6085976 / 2
LCM(842,7228) = 3042988
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FAQs on GCF of Fractions of 1514/842, 4997/7228
1. What is the HCF of 1514,4997?
The HCF of 1514,4997 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 1514/842, 4997/7228?
Answer: GCF of Numerators as per given numbers 1514/842, 4997/7228 is
GCF of Numerators i.e. for 1514,4997 is 1
LCM of denominators i.e. for 842,7228 is 3042988.
Thus, GCF of Fractions is 1/3042988.Finally, GCF of Fractions for 1514/842, 4997/7228 is 1/3042988.