GCF of 455/871, 951/683, 282/292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 455/871, 951/683, 282/292 i.e 1/173708756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/871, 951/683, 282/292.
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 455/871,951/683,282/292?
Given fractions are 455/871,951/683,282/292
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 455/871,951/683,282/292, numerators are 455,951,282
Denominators are 871,683,292
The GCF of 455,951,282 is 1 .
LCM of 871,683,292 is 173708756.
The greatest common factor of 455/871,951/683,282/292 = [GCF of 455,951,282]/[LCM of 871,683,292]= 1/173708756
Therefore, the GCF of 455/871,951/683,282/292 is 1/173708756.
To find the highest common factor of 455,951,282, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 951 are 1, 3, 317, 951
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 455,951,282 is 1.
Lets's calculate GCF of 455,951,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 455,951,282 By Matching Biggest Common Factor Method
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 951
:1,3,317,951
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 455,951,282 . The biggest common factor number is the GCF number.
So the greatest common factor 455,951,282 is 1.
Lets's calculate LCM of 871,683,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 173708756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173708756
Therefore, the GCF of Fractions 455/871,951/683,282/292 is 1/173708756
Least Common Multiple of 871,683,292 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 871,683,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,683,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,683,292) x common factors =1 x 1 = 1
LCM(871,683,292) = ( 871 × 683 × 292 ) / 1
LCM(871,683,292) = 173708756 / 1
LCM(871,683,292) = 173708756
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FAQs on GCF of Fractions of 455/871, 951/683, 282/292
1. What is the HCF of 455,951,282?
The HCF of 455,951,282 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 455/871, 951/683, 282/292?
Answer: GCF of Numerators as per given numbers 455/871, 951/683, 282/292 is
GCF of Numerators i.e. for 455,951,282 is 1
LCM of denominators i.e. for 871,683,292 is 173708756.
Thus, GCF of Fractions is 1/173708756.Finally, GCF of Fractions for 455/871, 951/683, 282/292 is 1/173708756.