GCF of 7549/109, 2534/6200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7549/109, 2534/6200 i.e 1/675800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7549/109, 2534/6200.
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 7549/109,2534/6200?
Given fractions are 7549/109,2534/6200
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 7549/109,2534/6200, numerators are 7549,2534
Denominators are 109,6200
The GCF of 7549,2534 is 1 .
LCM of 109,6200 is 675800.
The greatest common factor of 7549/109,2534/6200 = [GCF of 7549,2534]/[LCM of 109,6200]= 1/675800
Therefore, the GCF of 7549/109,2534/6200 is 1/675800.
To find the highest common factor of 7549,2534, we have to find the factors of both numbers and list the highest common factor.
The factors of 7549 are 1, 7549
The factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534
The HCF of 7549,2534 is 1.
Lets's calculate GCF of 7549,2534
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7549,2534 By Matching Biggest Common Factor Method
Now, list down the factors of 7549
:1,7549
Now, list down the factors of 2534
:1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 7549,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 7549,2534 is 1.
Lets's calculate LCM of 109,6200
Given numbers has no common factors except 1. So, there LCM is their product i.e 675800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675800
Therefore, the GCF of Fractions 7549/109,2534/6200 is 1/675800
Least Common Multiple of 109,6200 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 109,6200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,6200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,6200) x common factors =1 x 1 = 1
LCM(109,6200) = ( 109 × 6200 ) / 1
LCM(109,6200) = 675800 / 1
LCM(109,6200) = 675800
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FAQs on GCF of Fractions of 7549/109, 2534/6200
1. What is the HCF of 7549,2534?
The HCF of 7549,2534 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 7549/109, 2534/6200?
Answer: GCF of Numerators as per given numbers 7549/109, 2534/6200 is
GCF of Numerators i.e. for 7549,2534 is 1
LCM of denominators i.e. for 109,6200 is 675800.
Thus, GCF of Fractions is 1/675800.Finally, GCF of Fractions for 7549/109, 2534/6200 is 1/675800.