GCF of 7149/883, 8524/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7149/883, 8524/210 i.e 1/185430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7149/883, 8524/210.
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 7149/883,8524/210?
Given fractions are 7149/883,8524/210
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 7149/883,8524/210, numerators are 7149,8524
Denominators are 883,210
The GCF of 7149,8524 is 1 .
LCM of 883,210 is 185430.
The greatest common factor of 7149/883,8524/210 = [GCF of 7149,8524]/[LCM of 883,210]= 1/185430
Therefore, the GCF of 7149/883,8524/210 is 1/185430.
To find the highest common factor of 7149,8524, we have to find the factors of both numbers and list the highest common factor.
The factors of 7149 are 1, 3, 2383, 7149
The factors of 8524 are 1, 2, 4, 2131, 4262, 8524
The HCF of 7149,8524 is 1.
Lets's calculate GCF of 7149,8524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7149,8524 By Matching Biggest Common Factor Method
Now, list down the factors of 7149
:1,3,2383,7149
Now, list down the factors of 8524
:1,2,4,2131,4262,8524
Greatest Common Factor
We found the factors 7149,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,8524 is 1.
Lets's calculate LCM of 883,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 185430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185430
Therefore, the GCF of Fractions 7149/883,8524/210 is 1/185430
Least Common Multiple of 883,210 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 883,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,210) x common factors =1 x 1 = 1
LCM(883,210) = ( 883 × 210 ) / 1
LCM(883,210) = 185430 / 1
LCM(883,210) = 185430
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FAQs on GCF of Fractions of 7149/883, 8524/210
1. What is the HCF of 7149,8524?
The HCF of 7149,8524 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 7149/883, 8524/210?
Answer: GCF of Numerators as per given numbers 7149/883, 8524/210 is
GCF of Numerators i.e. for 7149,8524 is 1
LCM of denominators i.e. for 883,210 is 185430.
Thus, GCF of Fractions is 1/185430.Finally, GCF of Fractions for 7149/883, 8524/210 is 1/185430.