GCF of 1079/732, 5115/645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1079/732, 5115/645 i.e 1/157380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1079/732, 5115/645.
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 1079/732,5115/645?
Given fractions are 1079/732,5115/645
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 1079/732,5115/645, numerators are 1079,5115
Denominators are 732,645
The GCF of 1079,5115 is 1 .
LCM of 732,645 is 157380.
The greatest common factor of 1079/732,5115/645 = [GCF of 1079,5115]/[LCM of 732,645]= 1/157380
Therefore, the GCF of 1079/732,5115/645 is 1/157380.
To find the highest common factor of 1079,5115, we have to find the factors of both numbers and list the highest common factor.
The factors of 1079 are 1, 13, 83, 1079
The factors of 5115 are 1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705, 5115
The HCF of 1079,5115 is 1.
Lets's calculate GCF of 1079,5115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1079,5115 By Matching Biggest Common Factor Method
Now, list down the factors of 1079
:1,13,83,1079
Now, list down the factors of 5115
:1,3,5,11,15,31,33,55,93,155,165,341,465,1023,1705,5115
Greatest Common Factor
We found the factors 1079,5115 . The biggest common factor number is the GCF number.
So the greatest common factor 1079,5115 is 1.
Lets's calculate LCM of 732,645
| 3 | 732, 645 |
| 244, 215 |
∴ So the LCM of the given numbers is 3 x 244 x 215 = 157380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157380
Therefore, the GCF of Fractions 1079/732,5115/645 is 1/157380
Least Common Multiple of 732,645 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 732,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(732,645) x common factors =3 x 1 = 3
LCM(732,645) = ( 732 × 645 ) / 3
LCM(732,645) = 472140 / 3
LCM(732,645) = 157380
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FAQs on GCF of Fractions of 1079/732, 5115/645
1. What is the HCF of 1079,5115?
The HCF of 1079,5115 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 1079/732, 5115/645?
Answer: GCF of Numerators as per given numbers 1079/732, 5115/645 is
GCF of Numerators i.e. for 1079,5115 is 1
LCM of denominators i.e. for 732,645 is 157380.
Thus, GCF of Fractions is 1/157380.Finally, GCF of Fractions for 1079/732, 5115/645 is 1/157380.