GCF of 107/474, 350/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 107/474, 350/385 i.e 1/182490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/474, 350/385.
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 107/474,350/385?
Given fractions are 107/474,350/385
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 107/474,350/385, numerators are 107,350
Denominators are 474,385
The GCF of 107,350 is 1 .
LCM of 474,385 is 182490.
The greatest common factor of 107/474,350/385 = [GCF of 107,350]/[LCM of 474,385]= 1/182490
Therefore, the GCF of 107/474,350/385 is 1/182490.
To find the highest common factor of 107,350, we have to find the factors of both numbers and list the highest common factor.
The factors of 107 are 1, 107
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The HCF of 107,350 is 1.
Lets's calculate GCF of 107,350
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 107,350 By Matching Biggest Common Factor Method
Now, list down the factors of 107
:1,107
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 107,350 . The biggest common factor number is the GCF number.
So the greatest common factor 107,350 is 1.
Lets's calculate LCM of 474,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 182490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182490
Therefore, the GCF of Fractions 107/474,350/385 is 1/182490
Least Common Multiple of 474,385 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 474,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,385) x common factors =1 x 1 = 1
LCM(474,385) = ( 474 × 385 ) / 1
LCM(474,385) = 182490 / 1
LCM(474,385) = 182490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 107/474, 350/385
1. What is the HCF of 107,350?
The HCF of 107,350 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 107/474, 350/385?
Answer: GCF of Numerators as per given numbers 107/474, 350/385 is
GCF of Numerators i.e. for 107,350 is 1
LCM of denominators i.e. for 474,385 is 182490.
Thus, GCF of Fractions is 1/182490.Finally, GCF of Fractions for 107/474, 350/385 is 1/182490.