GCF of 9266/686, 6280/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9266/686, 6280/900 i.e 2/308700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9266/686, 6280/900.
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 9266/686,6280/900?
Given fractions are 9266/686,6280/900
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 9266/686,6280/900, numerators are 9266,6280
Denominators are 686,900
The GCF of 9266,6280 is 2 .
LCM of 686,900 is 308700.
The greatest common factor of 9266/686,6280/900 = [GCF of 9266,6280]/[LCM of 686,900]= 2/308700
Therefore, the GCF of 9266/686,6280/900 is 2/308700.
To find the highest common factor of 9266,6280, we have to find the factors of both numbers and list the highest common factor.
The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The HCF of 9266,6280 is 2.
Lets's calculate GCF of 9266,6280
| 2 | 9266, 6280 |
| 4633, 3140 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9266,6280 By Matching Biggest Common Factor Method
Now, list down the factors of 9266
:1,2,41,82,113,226,4633,9266
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Greatest Common Factor
We found the factors 9266,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 9266,6280 is 2.
Lets's calculate LCM of 686,900
| 2 | 686, 900 |
| 343, 450 |
∴ So the LCM of the given numbers is 2 x 343 x 450 = 308700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/308700
Therefore, the GCF of Fractions 9266/686,6280/900 is 2/308700
Least Common Multiple of 686,900 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 686,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,900) x common factors =2 x 1 = 2
LCM(686,900) = ( 686 × 900 ) / 2
LCM(686,900) = 617400 / 2
LCM(686,900) = 308700
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FAQs on GCF of Fractions of 9266/686, 6280/900
1. What is the HCF of 9266,6280?
The HCF of 9266,6280 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 9266/686, 6280/900?
Answer: GCF of Numerators as per given numbers 9266/686, 6280/900 is
GCF of Numerators i.e. for 9266,6280 is 2
LCM of denominators i.e. for 686,900 is 308700.
Thus, GCF of Fractions is 2/308700.Finally, GCF of Fractions for 9266/686, 6280/900 is 2/308700.