GCF of 5705/465, 6282/8967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5705/465, 6282/8967 i.e 1/1389885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5705/465, 6282/8967.
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 5705/465,6282/8967?
Given fractions are 5705/465,6282/8967
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 5705/465,6282/8967, numerators are 5705,6282
Denominators are 465,8967
The GCF of 5705,6282 is 1 .
LCM of 465,8967 is 1389885.
The greatest common factor of 5705/465,6282/8967 = [GCF of 5705,6282]/[LCM of 465,8967]= 1/1389885
Therefore, the GCF of 5705/465,6282/8967 is 1/1389885.
To find the highest common factor of 5705,6282, we have to find the factors of both numbers and list the highest common factor.
The factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705
The factors of 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282
The HCF of 5705,6282 is 1.
Lets's calculate GCF of 5705,6282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5705,6282 By Matching Biggest Common Factor Method
Now, list down the factors of 5705
:1,5,7,35,163,815,1141,5705
Now, list down the factors of 6282
:1,2,3,6,9,18,349,698,1047,2094,3141,6282
Greatest Common Factor
We found the factors 5705,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 5705,6282 is 1.
Lets's calculate LCM of 465,8967
| 3 | 465, 8967 |
| 155, 2989 |
∴ So the LCM of the given numbers is 3 x 155 x 2989 = 1389885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389885
Therefore, the GCF of Fractions 5705/465,6282/8967 is 1/1389885
Least Common Multiple of 465,8967 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 465,8967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,8967) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,8967) x common factors =3 x 1 = 3
LCM(465,8967) = ( 465 × 8967 ) / 3
LCM(465,8967) = 4169655 / 3
LCM(465,8967) = 1389885
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FAQs on GCF of Fractions of 5705/465, 6282/8967
1. What is the HCF of 5705,6282?
The HCF of 5705,6282 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 5705/465, 6282/8967?
Answer: GCF of Numerators as per given numbers 5705/465, 6282/8967 is
GCF of Numerators i.e. for 5705,6282 is 1
LCM of denominators i.e. for 465,8967 is 1389885.
Thus, GCF of Fractions is 1/1389885.Finally, GCF of Fractions for 5705/465, 6282/8967 is 1/1389885.