GCF of 5685/278, 9420/6510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5685/278, 9420/6510 i.e 15/904890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5685/278, 9420/6510.
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 5685/278,9420/6510?
Given fractions are 5685/278,9420/6510
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 5685/278,9420/6510, numerators are 5685,9420
Denominators are 278,6510
The GCF of 5685,9420 is 15 .
LCM of 278,6510 is 904890.
The greatest common factor of 5685/278,9420/6510 = [GCF of 5685,9420]/[LCM of 278,6510]= 15/904890
Therefore, the GCF of 5685/278,9420/6510 is 15/904890.
To find the highest common factor of 5685,9420, we have to find the factors of both numbers and list the highest common factor.
The factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685
The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
The HCF of 5685,9420 is 15.
Lets's calculate GCF of 5685,9420
| 3 | 5685, 9420 |
| 5 | 1895, 3140 |
| 379, 628 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5685,9420 By Matching Biggest Common Factor Method
Now, list down the factors of 5685
:1,3,5,15,379,1137,1895,5685
Now, list down the factors of 9420
:1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors 5685,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 5685,9420 is 15.
Lets's calculate LCM of 278,6510
| 2 | 278, 6510 |
| 139, 3255 |
∴ So the LCM of the given numbers is 2 x 139 x 3255 = 904890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/904890
Therefore, the GCF of Fractions 5685/278,9420/6510 is 15/904890
Least Common Multiple of 278,6510 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 278,6510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,6510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,6510) x common factors =2 x 1 = 2
LCM(278,6510) = ( 278 × 6510 ) / 2
LCM(278,6510) = 1809780 / 2
LCM(278,6510) = 904890
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FAQs on GCF of Fractions of 5685/278, 9420/6510
1. What is the HCF of 5685,9420?
The HCF of 5685,9420 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 5685/278, 9420/6510?
Answer: GCF of Numerators as per given numbers 5685/278, 9420/6510 is
GCF of Numerators i.e. for 5685,9420 is 15
LCM of denominators i.e. for 278,6510 is 904890.
Thus, GCF of Fractions is 15/904890.Finally, GCF of Fractions for 5685/278, 9420/6510 is 15/904890.