GCF of 358/37, 417/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 358/37, 417/260 i.e 1/9620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/37, 417/260.
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 358/37,417/260?
Given fractions are 358/37,417/260
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 358/37,417/260, numerators are 358,417
Denominators are 37,260
The GCF of 358,417 is 1 .
LCM of 37,260 is 9620.
The greatest common factor of 358/37,417/260 = [GCF of 358,417]/[LCM of 37,260]= 1/9620
Therefore, the GCF of 358/37,417/260 is 1/9620.
To find the highest common factor of 358,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 417 are 1, 3, 139, 417
The HCF of 358,417 is 1.
Lets's calculate GCF of 358,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 358,417 By Matching Biggest Common Factor Method
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 358,417 . The biggest common factor number is the GCF number.
So the greatest common factor 358,417 is 1.
Lets's calculate LCM of 37,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 9620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9620
Therefore, the GCF of Fractions 358/37,417/260 is 1/9620
Least Common Multiple of 37,260 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 37,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,260) x common factors =1 x 1 = 1
LCM(37,260) = ( 37 × 260 ) / 1
LCM(37,260) = 9620 / 1
LCM(37,260) = 9620
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 358/37, 417/260
1. What is the HCF of 358,417?
The HCF of 358,417 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 358/37, 417/260?
Answer: GCF of Numerators as per given numbers 358/37, 417/260 is
GCF of Numerators i.e. for 358,417 is 1
LCM of denominators i.e. for 37,260 is 9620.
Thus, GCF of Fractions is 1/9620.Finally, GCF of Fractions for 358/37, 417/260 is 1/9620.