GCF of 637/269, 2733/490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/269, 2733/490 i.e 1/131810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/269, 2733/490.
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 637/269,2733/490?
Given fractions are 637/269,2733/490
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 637/269,2733/490, numerators are 637,2733
Denominators are 269,490
The GCF of 637,2733 is 1 .
LCM of 269,490 is 131810.
The greatest common factor of 637/269,2733/490 = [GCF of 637,2733]/[LCM of 269,490]= 1/131810
Therefore, the GCF of 637/269,2733/490 is 1/131810.
To find the highest common factor of 637,2733, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 2733 are 1, 3, 911, 2733
The HCF of 637,2733 is 1.
Lets's calculate GCF of 637,2733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,2733 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 2733
:1,3,911,2733
Greatest Common Factor
We found the factors 637,2733 . The biggest common factor number is the GCF number.
So the greatest common factor 637,2733 is 1.
Lets's calculate LCM of 269,490
Given numbers has no common factors except 1. So, there LCM is their product i.e 131810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131810
Therefore, the GCF of Fractions 637/269,2733/490 is 1/131810
Least Common Multiple of 269,490 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 269,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,490) x common factors =1 x 1 = 1
LCM(269,490) = ( 269 × 490 ) / 1
LCM(269,490) = 131810 / 1
LCM(269,490) = 131810
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FAQs on GCF of Fractions of 637/269, 2733/490
1. What is the HCF of 637,2733?
The HCF of 637,2733 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 637/269, 2733/490?
Answer: GCF of Numerators as per given numbers 637/269, 2733/490 is
GCF of Numerators i.e. for 637,2733 is 1
LCM of denominators i.e. for 269,490 is 131810.
Thus, GCF of Fractions is 1/131810.Finally, GCF of Fractions for 637/269, 2733/490 is 1/131810.