GCF of 8070/230, 4906/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8070/230, 4906/224 i.e 2/25760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8070/230, 4906/224.
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 8070/230,4906/224?
Given fractions are 8070/230,4906/224
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 8070/230,4906/224, numerators are 8070,4906
Denominators are 230,224
The GCF of 8070,4906 is 2 .
LCM of 230,224 is 25760.
The greatest common factor of 8070/230,4906/224 = [GCF of 8070,4906]/[LCM of 230,224]= 2/25760
Therefore, the GCF of 8070/230,4906/224 is 2/25760.
To find the highest common factor of 8070,4906, we have to find the factors of both numbers and list the highest common factor.
The factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070
The factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906
The HCF of 8070,4906 is 2.
Lets's calculate GCF of 8070,4906
| 2 | 8070, 4906 |
| 4035, 2453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8070,4906 By Matching Biggest Common Factor Method
Now, list down the factors of 8070
:1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070
Now, list down the factors of 4906
:1,2,11,22,223,446,2453,4906
Greatest Common Factor
We found the factors 8070,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 8070,4906 is 2.
Lets's calculate LCM of 230,224
| 2 | 230, 224 |
| 115, 112 |
∴ So the LCM of the given numbers is 2 x 115 x 112 = 25760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25760
Therefore, the GCF of Fractions 8070/230,4906/224 is 2/25760
Least Common Multiple of 230,224 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 230,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,224) x common factors =2 x 1 = 2
LCM(230,224) = ( 230 × 224 ) / 2
LCM(230,224) = 51520 / 2
LCM(230,224) = 25760
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FAQs on GCF of Fractions of 8070/230, 4906/224
1. What is the HCF of 8070,4906?
The HCF of 8070,4906 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 8070/230, 4906/224?
Answer: GCF of Numerators as per given numbers 8070/230, 4906/224 is
GCF of Numerators i.e. for 8070,4906 is 2
LCM of denominators i.e. for 230,224 is 25760.
Thus, GCF of Fractions is 2/25760.Finally, GCF of Fractions for 8070/230, 4906/224 is 2/25760.