GCF of 635/43, 274/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 635/43, 274/498 i.e 1/21414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/43, 274/498.
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 635/43,274/498?
Given fractions are 635/43,274/498
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 635/43,274/498, numerators are 635,274
Denominators are 43,498
The GCF of 635,274 is 1 .
LCM of 43,498 is 21414.
The greatest common factor of 635/43,274/498 = [GCF of 635,274]/[LCM of 43,498]= 1/21414
Therefore, the GCF of 635/43,274/498 is 1/21414.
To find the highest common factor of 635,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 274 are 1, 2, 137, 274
The HCF of 635,274 is 1.
Lets's calculate GCF of 635,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 635,274 By Matching Biggest Common Factor Method
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 635,274 . The biggest common factor number is the GCF number.
So the greatest common factor 635,274 is 1.
Lets's calculate LCM of 43,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 21414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21414
Therefore, the GCF of Fractions 635/43,274/498 is 1/21414
Least Common Multiple of 43,498 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 43,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,498) x common factors =1 x 1 = 1
LCM(43,498) = ( 43 × 498 ) / 1
LCM(43,498) = 21414 / 1
LCM(43,498) = 21414
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 635/43, 274/498
1. What is the HCF of 635,274?
The HCF of 635,274 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 635/43, 274/498?
Answer: GCF of Numerators as per given numbers 635/43, 274/498 is
GCF of Numerators i.e. for 635,274 is 1
LCM of denominators i.e. for 43,498 is 21414.
Thus, GCF of Fractions is 1/21414.Finally, GCF of Fractions for 635/43, 274/498 is 1/21414.