GCF of 5306/474, 8648/9655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5306/474, 8648/9655 i.e 2/4576470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5306/474, 8648/9655.
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 5306/474,8648/9655?
Given fractions are 5306/474,8648/9655
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 5306/474,8648/9655, numerators are 5306,8648
Denominators are 474,9655
The GCF of 5306,8648 is 2 .
LCM of 474,9655 is 4576470.
The greatest common factor of 5306/474,8648/9655 = [GCF of 5306,8648]/[LCM of 474,9655]= 2/4576470
Therefore, the GCF of 5306/474,8648/9655 is 2/4576470.
To find the highest common factor of 5306,8648, we have to find the factors of both numbers and list the highest common factor.
The factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306
The factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648
The HCF of 5306,8648 is 2.
Lets's calculate GCF of 5306,8648
| 2 | 5306, 8648 |
| 2653, 4324 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5306,8648 By Matching Biggest Common Factor Method
Now, list down the factors of 5306
:1,2,7,14,379,758,2653,5306
Now, list down the factors of 8648
:1,2,4,8,23,46,47,92,94,184,188,376,1081,2162,4324,8648
Greatest Common Factor
We found the factors 5306,8648 . The biggest common factor number is the GCF number.
So the greatest common factor 5306,8648 is 2.
Lets's calculate LCM of 474,9655
Given numbers has no common factors except 1. So, there LCM is their product i.e 4576470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4576470
Therefore, the GCF of Fractions 5306/474,8648/9655 is 2/4576470
Least Common Multiple of 474,9655 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 474,9655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,9655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,9655) x common factors =1 x 1 = 1
LCM(474,9655) = ( 474 × 9655 ) / 1
LCM(474,9655) = 4576470 / 1
LCM(474,9655) = 4576470
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FAQs on GCF of Fractions of 5306/474, 8648/9655
1. What is the HCF of 5306,8648?
The HCF of 5306,8648 is 2
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 5306/474, 8648/9655?
Answer: GCF of Numerators as per given numbers 5306/474, 8648/9655 is
GCF of Numerators i.e. for 5306,8648 is 2
LCM of denominators i.e. for 474,9655 is 4576470.
Thus, GCF of Fractions is 2/4576470.Finally, GCF of Fractions for 5306/474, 8648/9655 is 2/4576470.