GCF of 8234/867, 2260/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8234/867, 2260/159 i.e 2/45951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8234/867, 2260/159.
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 8234/867,2260/159?
Given fractions are 8234/867,2260/159
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 8234/867,2260/159, numerators are 8234,2260
Denominators are 867,159
The GCF of 8234,2260 is 2 .
LCM of 867,159 is 45951.
The greatest common factor of 8234/867,2260/159 = [GCF of 8234,2260]/[LCM of 867,159]= 2/45951
Therefore, the GCF of 8234/867,2260/159 is 2/45951.
To find the highest common factor of 8234,2260, we have to find the factors of both numbers and list the highest common factor.
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The factors of 2260 are 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130, 2260
The HCF of 8234,2260 is 2.
Lets's calculate GCF of 8234,2260
| 2 | 8234, 2260 |
| 4117, 1130 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8234,2260 By Matching Biggest Common Factor Method
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Now, list down the factors of 2260
:1,2,4,5,10,20,113,226,452,565,1130,2260
Greatest Common Factor
We found the factors 8234,2260 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,2260 is 2.
Lets's calculate LCM of 867,159
| 3 | 867, 159 |
| 289, 53 |
∴ So the LCM of the given numbers is 3 x 289 x 53 = 45951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45951
Therefore, the GCF of Fractions 8234/867,2260/159 is 2/45951
Least Common Multiple of 867,159 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 867,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,159) x common factors =3 x 1 = 3
LCM(867,159) = ( 867 × 159 ) / 3
LCM(867,159) = 137853 / 3
LCM(867,159) = 45951
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FAQs on GCF of Fractions of 8234/867, 2260/159
1. What is the HCF of 8234,2260?
The HCF of 8234,2260 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 8234/867, 2260/159?
Answer: GCF of Numerators as per given numbers 8234/867, 2260/159 is
GCF of Numerators i.e. for 8234,2260 is 2
LCM of denominators i.e. for 867,159 is 45951.
Thus, GCF of Fractions is 2/45951.Finally, GCF of Fractions for 8234/867, 2260/159 is 2/45951.