GCF of 7144/598, 6139/6151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7144/598, 6139/6151 i.e 1/3678298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7144/598, 6139/6151.
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 7144/598,6139/6151?
Given fractions are 7144/598,6139/6151
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 7144/598,6139/6151, numerators are 7144,6139
Denominators are 598,6151
The GCF of 7144,6139 is 1 .
LCM of 598,6151 is 3678298.
The greatest common factor of 7144/598,6139/6151 = [GCF of 7144,6139]/[LCM of 598,6151]= 1/3678298
Therefore, the GCF of 7144/598,6139/6151 is 1/3678298.
To find the highest common factor of 7144,6139, we have to find the factors of both numbers and list the highest common factor.
The factors of 7144 are 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144
The factors of 6139 are 1, 7, 877, 6139
The HCF of 7144,6139 is 1.
Lets's calculate GCF of 7144,6139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7144,6139 By Matching Biggest Common Factor Method
Now, list down the factors of 7144
:1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144
Now, list down the factors of 6139
:1,7,877,6139
Greatest Common Factor
We found the factors 7144,6139 . The biggest common factor number is the GCF number.
So the greatest common factor 7144,6139 is 1.
Lets's calculate LCM of 598,6151
Given numbers has no common factors except 1. So, there LCM is their product i.e 3678298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3678298
Therefore, the GCF of Fractions 7144/598,6139/6151 is 1/3678298
Least Common Multiple of 598,6151 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 598,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,6151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,6151) x common factors =1 x 1 = 1
LCM(598,6151) = ( 598 × 6151 ) / 1
LCM(598,6151) = 3678298 / 1
LCM(598,6151) = 3678298
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FAQs on GCF of Fractions of 7144/598, 6139/6151
1. What is the HCF of 7144,6139?
The HCF of 7144,6139 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 7144/598, 6139/6151?
Answer: GCF of Numerators as per given numbers 7144/598, 6139/6151 is
GCF of Numerators i.e. for 7144,6139 is 1
LCM of denominators i.e. for 598,6151 is 3678298.
Thus, GCF of Fractions is 1/3678298.Finally, GCF of Fractions for 7144/598, 6139/6151 is 1/3678298.