GCF of 235/32, 714/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 235/32, 714/755 i.e 1/24160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/32, 714/755.
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 235/32,714/755?
Given fractions are 235/32,714/755
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 235/32,714/755, numerators are 235,714
Denominators are 32,755
The GCF of 235,714 is 1 .
LCM of 32,755 is 24160.
The greatest common factor of 235/32,714/755 = [GCF of 235,714]/[LCM of 32,755]= 1/24160
Therefore, the GCF of 235/32,714/755 is 1/24160.
To find the highest common factor of 235,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 235 are 1, 5, 47, 235
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 235,714 is 1.
Lets's calculate GCF of 235,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 235,714 By Matching Biggest Common Factor Method
Now, list down the factors of 235
:1,5,47,235
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 235,714 . The biggest common factor number is the GCF number.
So the greatest common factor 235,714 is 1.
Lets's calculate LCM of 32,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 24160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24160
Therefore, the GCF of Fractions 235/32,714/755 is 1/24160
Least Common Multiple of 32,755 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 32,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,755) x common factors =1 x 1 = 1
LCM(32,755) = ( 32 × 755 ) / 1
LCM(32,755) = 24160 / 1
LCM(32,755) = 24160
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FAQs on GCF of Fractions of 235/32, 714/755
1. What is the HCF of 235,714?
The HCF of 235,714 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 235/32, 714/755?
Answer: GCF of Numerators as per given numbers 235/32, 714/755 is
GCF of Numerators i.e. for 235,714 is 1
LCM of denominators i.e. for 32,755 is 24160.
Thus, GCF of Fractions is 1/24160.Finally, GCF of Fractions for 235/32, 714/755 is 1/24160.