GCF of 8570/377, 8040/8678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8570/377, 8040/8678 i.e 10/3271606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8570/377, 8040/8678.
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 8570/377,8040/8678?
Given fractions are 8570/377,8040/8678
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 8570/377,8040/8678, numerators are 8570,8040
Denominators are 377,8678
The GCF of 8570,8040 is 10 .
LCM of 377,8678 is 3271606.
The greatest common factor of 8570/377,8040/8678 = [GCF of 8570,8040]/[LCM of 377,8678]= 10/3271606
Therefore, the GCF of 8570/377,8040/8678 is 10/3271606.
To find the highest common factor of 8570,8040, we have to find the factors of both numbers and list the highest common factor.
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
The HCF of 8570,8040 is 10.
Lets's calculate GCF of 8570,8040
| 2 | 8570, 8040 |
| 5 | 4285, 4020 |
| 857, 804 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8570,8040 By Matching Biggest Common Factor Method
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Now, list down the factors of 8040
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Greatest Common Factor
We found the factors 8570,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 8570,8040 is 10.
Lets's calculate LCM of 377,8678
Given numbers has no common factors except 1. So, there LCM is their product i.e 3271606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3271606
Therefore, the GCF of Fractions 8570/377,8040/8678 is 10/3271606
Least Common Multiple of 377,8678 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 377,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,8678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,8678) x common factors =1 x 1 = 1
LCM(377,8678) = ( 377 × 8678 ) / 1
LCM(377,8678) = 3271606 / 1
LCM(377,8678) = 3271606
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8570/377, 8040/8678
1. What is the HCF of 8570,8040?
The HCF of 8570,8040 is 10
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 8570/377, 8040/8678?
Answer: GCF of Numerators as per given numbers 8570/377, 8040/8678 is
GCF of Numerators i.e. for 8570,8040 is 10
LCM of denominators i.e. for 377,8678 is 3271606.
Thus, GCF of Fractions is 10/3271606.Finally, GCF of Fractions for 8570/377, 8040/8678 is 10/3271606.