GCF of 6189/428, 1294/725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6189/428, 1294/725 i.e 1/310300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6189/428, 1294/725.
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 6189/428,1294/725?
Given fractions are 6189/428,1294/725
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 6189/428,1294/725, numerators are 6189,1294
Denominators are 428,725
The GCF of 6189,1294 is 1 .
LCM of 428,725 is 310300.
The greatest common factor of 6189/428,1294/725 = [GCF of 6189,1294]/[LCM of 428,725]= 1/310300
Therefore, the GCF of 6189/428,1294/725 is 1/310300.
To find the highest common factor of 6189,1294, we have to find the factors of both numbers and list the highest common factor.
The factors of 6189 are 1, 3, 2063, 6189
The factors of 1294 are 1, 2, 647, 1294
The HCF of 6189,1294 is 1.
Lets's calculate GCF of 6189,1294
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6189,1294 By Matching Biggest Common Factor Method
Now, list down the factors of 6189
:1,3,2063,6189
Now, list down the factors of 1294
:1,2,647,1294
Greatest Common Factor
We found the factors 6189,1294 . The biggest common factor number is the GCF number.
So the greatest common factor 6189,1294 is 1.
Lets's calculate LCM of 428,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 310300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310300
Therefore, the GCF of Fractions 6189/428,1294/725 is 1/310300
Least Common Multiple of 428,725 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 428,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,725) x common factors =1 x 1 = 1
LCM(428,725) = ( 428 × 725 ) / 1
LCM(428,725) = 310300 / 1
LCM(428,725) = 310300
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FAQs on GCF of Fractions of 6189/428, 1294/725
1. What is the HCF of 6189,1294?
The HCF of 6189,1294 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 6189/428, 1294/725?
Answer: GCF of Numerators as per given numbers 6189/428, 1294/725 is
GCF of Numerators i.e. for 6189,1294 is 1
LCM of denominators i.e. for 428,725 is 310300.
Thus, GCF of Fractions is 1/310300.Finally, GCF of Fractions for 6189/428, 1294/725 is 1/310300.