GCF of 575/651, 514/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 575/651, 514/972 i.e 1/210924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/651, 514/972.
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 575/651,514/972?
Given fractions are 575/651,514/972
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 575/651,514/972, numerators are 575,514
Denominators are 651,972
The GCF of 575,514 is 1 .
LCM of 651,972 is 210924.
The greatest common factor of 575/651,514/972 = [GCF of 575,514]/[LCM of 651,972]= 1/210924
Therefore, the GCF of 575/651,514/972 is 1/210924.
To find the highest common factor of 575,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 514 are 1, 2, 257, 514
The HCF of 575,514 is 1.
Lets's calculate GCF of 575,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 575,514 By Matching Biggest Common Factor Method
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 575,514 . The biggest common factor number is the GCF number.
So the greatest common factor 575,514 is 1.
Lets's calculate LCM of 651,972
| 3 | 651, 972 |
| 217, 324 |
∴ So the LCM of the given numbers is 3 x 217 x 324 = 210924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210924
Therefore, the GCF of Fractions 575/651,514/972 is 1/210924
Least Common Multiple of 651,972 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 651,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,972) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,972) x common factors =3 x 1 = 3
LCM(651,972) = ( 651 × 972 ) / 3
LCM(651,972) = 632772 / 3
LCM(651,972) = 210924
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FAQs on GCF of Fractions of 575/651, 514/972
1. What is the HCF of 575,514?
The HCF of 575,514 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 575/651, 514/972?
Answer: GCF of Numerators as per given numbers 575/651, 514/972 is
GCF of Numerators i.e. for 575,514 is 1
LCM of denominators i.e. for 651,972 is 210924.
Thus, GCF of Fractions is 1/210924.Finally, GCF of Fractions for 575/651, 514/972 is 1/210924.