GCF of 341/72, 607/691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/72, 607/691 i.e 1/49752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/72, 607/691.
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 341/72,607/691?
Given fractions are 341/72,607/691
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 341/72,607/691, numerators are 341,607
Denominators are 72,691
The GCF of 341,607 is 1 .
LCM of 72,691 is 49752.
The greatest common factor of 341/72,607/691 = [GCF of 341,607]/[LCM of 72,691]= 1/49752
Therefore, the GCF of 341/72,607/691 is 1/49752.
To find the highest common factor of 341,607, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 607 are 1, 607
The HCF of 341,607 is 1.
Lets's calculate GCF of 341,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 341,607 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 607
:1,607
Greatest Common Factor
We found the factors 341,607 . The biggest common factor number is the GCF number.
So the greatest common factor 341,607 is 1.
Lets's calculate LCM of 72,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 49752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49752
Therefore, the GCF of Fractions 341/72,607/691 is 1/49752
Least Common Multiple of 72,691 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 72,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,691) x common factors =1 x 1 = 1
LCM(72,691) = ( 72 × 691 ) / 1
LCM(72,691) = 49752 / 1
LCM(72,691) = 49752
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 341/72, 607/691
1. What is the HCF of 341,607?
The HCF of 341,607 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 341/72, 607/691?
Answer: GCF of Numerators as per given numbers 341/72, 607/691 is
GCF of Numerators i.e. for 341,607 is 1
LCM of denominators i.e. for 72,691 is 49752.
Thus, GCF of Fractions is 1/49752.Finally, GCF of Fractions for 341/72, 607/691 is 1/49752.