GCF of 5670/779, 6855/9102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5670/779, 6855/9102 i.e 15/172938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5670/779, 6855/9102.
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 5670/779,6855/9102?
Given fractions are 5670/779,6855/9102
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 5670/779,6855/9102, numerators are 5670,6855
Denominators are 779,9102
The GCF of 5670,6855 is 15 .
LCM of 779,9102 is 172938.
The greatest common factor of 5670/779,6855/9102 = [GCF of 5670,6855]/[LCM of 779,9102]= 15/172938
Therefore, the GCF of 5670/779,6855/9102 is 15/172938.
To find the highest common factor of 5670,6855, we have to find the factors of both numbers and list the highest common factor.
The factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670
The factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855
The HCF of 5670,6855 is 15.
Lets's calculate GCF of 5670,6855
| 3 | 5670, 6855 |
| 5 | 1890, 2285 |
| 378, 457 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5670,6855 By Matching Biggest Common Factor Method
Now, list down the factors of 5670
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Now, list down the factors of 6855
:1,3,5,15,457,1371,2285,6855
Greatest Common Factor
We found the factors 5670,6855 . The biggest common factor number is the GCF number.
So the greatest common factor 5670,6855 is 15.
Lets's calculate LCM of 779,9102
| 41 | 779, 9102 |
| 19, 222 |
∴ So the LCM of the given numbers is 41 x 19 x 222 = 172938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/172938
Therefore, the GCF of Fractions 5670/779,6855/9102 is 15/172938
Least Common Multiple of 779,9102 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 779,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,9102) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(779,9102) x common factors =41 x 1 = 41
LCM(779,9102) = ( 779 × 9102 ) / 41
LCM(779,9102) = 7090458 / 41
LCM(779,9102) = 172938
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FAQs on GCF of Fractions of 5670/779, 6855/9102
1. What is the HCF of 5670,6855?
The HCF of 5670,6855 is 15
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 5670/779, 6855/9102?
Answer: GCF of Numerators as per given numbers 5670/779, 6855/9102 is
GCF of Numerators i.e. for 5670,6855 is 15
LCM of denominators i.e. for 779,9102 is 172938.
Thus, GCF of Fractions is 15/172938.Finally, GCF of Fractions for 5670/779, 6855/9102 is 15/172938.