GCF of 4705/657, 8432/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4705/657, 8432/798 i.e 1/174762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4705/657, 8432/798.
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 4705/657,8432/798?
Given fractions are 4705/657,8432/798
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 4705/657,8432/798, numerators are 4705,8432
Denominators are 657,798
The GCF of 4705,8432 is 1 .
LCM of 657,798 is 174762.
The greatest common factor of 4705/657,8432/798 = [GCF of 4705,8432]/[LCM of 657,798]= 1/174762
Therefore, the GCF of 4705/657,8432/798 is 1/174762.
To find the highest common factor of 4705,8432, we have to find the factors of both numbers and list the highest common factor.
The factors of 4705 are 1, 5, 941, 4705
The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432
The HCF of 4705,8432 is 1.
Lets's calculate GCF of 4705,8432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4705,8432 By Matching Biggest Common Factor Method
Now, list down the factors of 4705
:1,5,941,4705
Now, list down the factors of 8432
:1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Greatest Common Factor
We found the factors 4705,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 4705,8432 is 1.
Lets's calculate LCM of 657,798
| 3 | 657, 798 |
| 219, 266 |
∴ So the LCM of the given numbers is 3 x 219 x 266 = 174762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174762
Therefore, the GCF of Fractions 4705/657,8432/798 is 1/174762
Least Common Multiple of 657,798 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 657,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,798) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,798) x common factors =3 x 1 = 3
LCM(657,798) = ( 657 × 798 ) / 3
LCM(657,798) = 524286 / 3
LCM(657,798) = 174762
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4705/657, 8432/798
1. What is the HCF of 4705,8432?
The HCF of 4705,8432 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 4705/657, 8432/798?
Answer: GCF of Numerators as per given numbers 4705/657, 8432/798 is
GCF of Numerators i.e. for 4705,8432 is 1
LCM of denominators i.e. for 657,798 is 174762.
Thus, GCF of Fractions is 1/174762.Finally, GCF of Fractions for 4705/657, 8432/798 is 1/174762.