GCF of 654/908, 761/566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 654/908, 761/566 i.e 1/256964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/908, 761/566.
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 654/908,761/566?
Given fractions are 654/908,761/566
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 654/908,761/566, numerators are 654,761
Denominators are 908,566
The GCF of 654,761 is 1 .
LCM of 908,566 is 256964.
The greatest common factor of 654/908,761/566 = [GCF of 654,761]/[LCM of 908,566]= 1/256964
Therefore, the GCF of 654/908,761/566 is 1/256964.
To find the highest common factor of 654,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 761 are 1, 761
The HCF of 654,761 is 1.
Lets's calculate GCF of 654,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 654,761 By Matching Biggest Common Factor Method
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 654,761 . The biggest common factor number is the GCF number.
So the greatest common factor 654,761 is 1.
Lets's calculate LCM of 908,566
| 2 | 908, 566 |
| 454, 283 |
∴ So the LCM of the given numbers is 2 x 454 x 283 = 256964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256964
Therefore, the GCF of Fractions 654/908,761/566 is 1/256964
Least Common Multiple of 908,566 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 908,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(908,566) x common factors =2 x 1 = 2
LCM(908,566) = ( 908 × 566 ) / 2
LCM(908,566) = 513928 / 2
LCM(908,566) = 256964
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 654/908, 761/566
1. What is the HCF of 654,761?
The HCF of 654,761 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 654/908, 761/566?
Answer: GCF of Numerators as per given numbers 654/908, 761/566 is
GCF of Numerators i.e. for 654,761 is 1
LCM of denominators i.e. for 908,566 is 256964.
Thus, GCF of Fractions is 1/256964.Finally, GCF of Fractions for 654/908, 761/566 is 1/256964.