GCF of 1199/270, 2738/641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1199/270, 2738/641 i.e 1/173070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1199/270, 2738/641.
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 1199/270,2738/641?
Given fractions are 1199/270,2738/641
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 1199/270,2738/641, numerators are 1199,2738
Denominators are 270,641
The GCF of 1199,2738 is 1 .
LCM of 270,641 is 173070.
The greatest common factor of 1199/270,2738/641 = [GCF of 1199,2738]/[LCM of 270,641]= 1/173070
Therefore, the GCF of 1199/270,2738/641 is 1/173070.
To find the highest common factor of 1199,2738, we have to find the factors of both numbers and list the highest common factor.
The factors of 1199 are 1, 11, 109, 1199
The factors of 2738 are 1, 2, 37, 74, 1369, 2738
The HCF of 1199,2738 is 1.
Lets's calculate GCF of 1199,2738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1199,2738 By Matching Biggest Common Factor Method
Now, list down the factors of 1199
:1,11,109,1199
Now, list down the factors of 2738
:1,2,37,74,1369,2738
Greatest Common Factor
We found the factors 1199,2738 . The biggest common factor number is the GCF number.
So the greatest common factor 1199,2738 is 1.
Lets's calculate LCM of 270,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 173070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173070
Therefore, the GCF of Fractions 1199/270,2738/641 is 1/173070
Least Common Multiple of 270,641 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 270,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,641) x common factors =1 x 1 = 1
LCM(270,641) = ( 270 × 641 ) / 1
LCM(270,641) = 173070 / 1
LCM(270,641) = 173070
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FAQs on GCF of Fractions of 1199/270, 2738/641
1. What is the HCF of 1199,2738?
The HCF of 1199,2738 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 1199/270, 2738/641?
Answer: GCF of Numerators as per given numbers 1199/270, 2738/641 is
GCF of Numerators i.e. for 1199,2738 is 1
LCM of denominators i.e. for 270,641 is 173070.
Thus, GCF of Fractions is 1/173070.Finally, GCF of Fractions for 1199/270, 2738/641 is 1/173070.