GCF of 2527/392, 9475/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2527/392, 9475/218 i.e 1/42728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2527/392, 9475/218.
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 2527/392,9475/218?
Given fractions are 2527/392,9475/218
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 2527/392,9475/218, numerators are 2527,9475
Denominators are 392,218
The GCF of 2527,9475 is 1 .
LCM of 392,218 is 42728.
The greatest common factor of 2527/392,9475/218 = [GCF of 2527,9475]/[LCM of 392,218]= 1/42728
Therefore, the GCF of 2527/392,9475/218 is 1/42728.
To find the highest common factor of 2527,9475, we have to find the factors of both numbers and list the highest common factor.
The factors of 2527 are 1, 7, 19, 133, 361, 2527
The factors of 9475 are 1, 5, 25, 379, 1895, 9475
The HCF of 2527,9475 is 1.
Lets's calculate GCF of 2527,9475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2527,9475 By Matching Biggest Common Factor Method
Now, list down the factors of 2527
:1,7,19,133,361,2527
Now, list down the factors of 9475
:1,5,25,379,1895,9475
Greatest Common Factor
We found the factors 2527,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 2527,9475 is 1.
Lets's calculate LCM of 392,218
| 2 | 392, 218 |
| 196, 109 |
∴ So the LCM of the given numbers is 2 x 196 x 109 = 42728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42728
Therefore, the GCF of Fractions 2527/392,9475/218 is 1/42728
Least Common Multiple of 392,218 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 392,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,218) x common factors =2 x 1 = 2
LCM(392,218) = ( 392 × 218 ) / 2
LCM(392,218) = 85456 / 2
LCM(392,218) = 42728
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FAQs on GCF of Fractions of 2527/392, 9475/218
1. What is the HCF of 2527,9475?
The HCF of 2527,9475 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 2527/392, 9475/218?
Answer: GCF of Numerators as per given numbers 2527/392, 9475/218 is
GCF of Numerators i.e. for 2527,9475 is 1
LCM of denominators i.e. for 392,218 is 42728.
Thus, GCF of Fractions is 1/42728.Finally, GCF of Fractions for 2527/392, 9475/218 is 1/42728.