GCF of 7597/988, 5012/8642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7597/988, 5012/8642 i.e 1/4269148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7597/988, 5012/8642.
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 7597/988,5012/8642?
Given fractions are 7597/988,5012/8642
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 7597/988,5012/8642, numerators are 7597,5012
Denominators are 988,8642
The GCF of 7597,5012 is 1 .
LCM of 988,8642 is 4269148.
The greatest common factor of 7597/988,5012/8642 = [GCF of 7597,5012]/[LCM of 988,8642]= 1/4269148
Therefore, the GCF of 7597/988,5012/8642 is 1/4269148.
To find the highest common factor of 7597,5012, we have to find the factors of both numbers and list the highest common factor.
The factors of 7597 are 1, 71, 107, 7597
The factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012
The HCF of 7597,5012 is 1.
Lets's calculate GCF of 7597,5012
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7597,5012 By Matching Biggest Common Factor Method
Now, list down the factors of 7597
:1,71,107,7597
Now, list down the factors of 5012
:1,2,4,7,14,28,179,358,716,1253,2506,5012
Greatest Common Factor
We found the factors 7597,5012 . The biggest common factor number is the GCF number.
So the greatest common factor 7597,5012 is 1.
Lets's calculate LCM of 988,8642
| 2 | 988, 8642 |
| 494, 4321 |
∴ So the LCM of the given numbers is 2 x 494 x 4321 = 4269148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4269148
Therefore, the GCF of Fractions 7597/988,5012/8642 is 1/4269148
Least Common Multiple of 988,8642 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 988,8642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,8642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(988,8642) x common factors =2 x 1 = 2
LCM(988,8642) = ( 988 × 8642 ) / 2
LCM(988,8642) = 8538296 / 2
LCM(988,8642) = 4269148
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FAQs on GCF of Fractions of 7597/988, 5012/8642
1. What is the HCF of 7597,5012?
The HCF of 7597,5012 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 7597/988, 5012/8642?
Answer: GCF of Numerators as per given numbers 7597/988, 5012/8642 is
GCF of Numerators i.e. for 7597,5012 is 1
LCM of denominators i.e. for 988,8642 is 4269148.
Thus, GCF of Fractions is 1/4269148.Finally, GCF of Fractions for 7597/988, 5012/8642 is 1/4269148.