GCF of 6299/175, 3738/2654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6299/175, 3738/2654 i.e 1/464450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6299/175, 3738/2654.
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 6299/175,3738/2654?
Given fractions are 6299/175,3738/2654
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 6299/175,3738/2654, numerators are 6299,3738
Denominators are 175,2654
The GCF of 6299,3738 is 1 .
LCM of 175,2654 is 464450.
The greatest common factor of 6299/175,3738/2654 = [GCF of 6299,3738]/[LCM of 175,2654]= 1/464450
Therefore, the GCF of 6299/175,3738/2654 is 1/464450.
To find the highest common factor of 6299,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 6299 are 1, 6299
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 6299,3738 is 1.
Lets's calculate GCF of 6299,3738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6299,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 6299
:1,6299
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 6299,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 6299,3738 is 1.
Lets's calculate LCM of 175,2654
Given numbers has no common factors except 1. So, there LCM is their product i.e 464450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464450
Therefore, the GCF of Fractions 6299/175,3738/2654 is 1/464450
Least Common Multiple of 175,2654 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 175,2654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,2654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,2654) x common factors =1 x 1 = 1
LCM(175,2654) = ( 175 × 2654 ) / 1
LCM(175,2654) = 464450 / 1
LCM(175,2654) = 464450
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FAQs on GCF of Fractions of 6299/175, 3738/2654
1. What is the HCF of 6299,3738?
The HCF of 6299,3738 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 6299/175, 3738/2654?
Answer: GCF of Numerators as per given numbers 6299/175, 3738/2654 is
GCF of Numerators i.e. for 6299,3738 is 1
LCM of denominators i.e. for 175,2654 is 464450.
Thus, GCF of Fractions is 1/464450.Finally, GCF of Fractions for 6299/175, 3738/2654 is 1/464450.