GCF of 1560/473, 8677/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1560/473, 8677/764 i.e 1/361372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1560/473, 8677/764.
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 1560/473,8677/764?
Given fractions are 1560/473,8677/764
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 1560/473,8677/764, numerators are 1560,8677
Denominators are 473,764
The GCF of 1560,8677 is 1 .
LCM of 473,764 is 361372.
The greatest common factor of 1560/473,8677/764 = [GCF of 1560,8677]/[LCM of 473,764]= 1/361372
Therefore, the GCF of 1560/473,8677/764 is 1/361372.
To find the highest common factor of 1560,8677, we have to find the factors of both numbers and list the highest common factor.
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The factors of 8677 are 1, 8677
The HCF of 1560,8677 is 1.
Lets's calculate GCF of 1560,8677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1560,8677 By Matching Biggest Common Factor Method
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Now, list down the factors of 8677
:1,8677
Greatest Common Factor
We found the factors 1560,8677 . The biggest common factor number is the GCF number.
So the greatest common factor 1560,8677 is 1.
Lets's calculate LCM of 473,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 361372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361372
Therefore, the GCF of Fractions 1560/473,8677/764 is 1/361372
Least Common Multiple of 473,764 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 473,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,764) x common factors =1 x 1 = 1
LCM(473,764) = ( 473 × 764 ) / 1
LCM(473,764) = 361372 / 1
LCM(473,764) = 361372
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1560/473, 8677/764
1. What is the HCF of 1560,8677?
The HCF of 1560,8677 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 1560/473, 8677/764?
Answer: GCF of Numerators as per given numbers 1560/473, 8677/764 is
GCF of Numerators i.e. for 1560,8677 is 1
LCM of denominators i.e. for 473,764 is 361372.
Thus, GCF of Fractions is 1/361372.Finally, GCF of Fractions for 1560/473, 8677/764 is 1/361372.