GCF of 532/700, 165/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 532/700, 165/347 i.e 1/242900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/700, 165/347.
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 532/700,165/347?
Given fractions are 532/700,165/347
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 532/700,165/347, numerators are 532,165
Denominators are 700,347
The GCF of 532,165 is 1 .
LCM of 700,347 is 242900.
The greatest common factor of 532/700,165/347 = [GCF of 532,165]/[LCM of 700,347]= 1/242900
Therefore, the GCF of 532/700,165/347 is 1/242900.
To find the highest common factor of 532,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 532,165 is 1.
Lets's calculate GCF of 532,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 532,165 By Matching Biggest Common Factor Method
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 532,165 . The biggest common factor number is the GCF number.
So the greatest common factor 532,165 is 1.
Lets's calculate LCM of 700,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 242900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242900
Therefore, the GCF of Fractions 532/700,165/347 is 1/242900
Least Common Multiple of 700,347 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 700,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,347) x common factors =1 x 1 = 1
LCM(700,347) = ( 700 × 347 ) / 1
LCM(700,347) = 242900 / 1
LCM(700,347) = 242900
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 532/700, 165/347
1. What is the HCF of 532,165?
The HCF of 532,165 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 532/700, 165/347?
Answer: GCF of Numerators as per given numbers 532/700, 165/347 is
GCF of Numerators i.e. for 532,165 is 1
LCM of denominators i.e. for 700,347 is 242900.
Thus, GCF of Fractions is 1/242900.Finally, GCF of Fractions for 532/700, 165/347 is 1/242900.