GCF of 9074/250, 4646/123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9074/250, 4646/123 i.e 2/30750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9074/250, 4646/123.
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 9074/250,4646/123?
Given fractions are 9074/250,4646/123
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 9074/250,4646/123, numerators are 9074,4646
Denominators are 250,123
The GCF of 9074,4646 is 2 .
LCM of 250,123 is 30750.
The greatest common factor of 9074/250,4646/123 = [GCF of 9074,4646]/[LCM of 250,123]= 2/30750
Therefore, the GCF of 9074/250,4646/123 is 2/30750.
To find the highest common factor of 9074,4646, we have to find the factors of both numbers and list the highest common factor.
The factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The HCF of 9074,4646 is 2.
Lets's calculate GCF of 9074,4646
| 2 | 9074, 4646 |
| 4537, 2323 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9074,4646 By Matching Biggest Common Factor Method
Now, list down the factors of 9074
:1,2,13,26,349,698,4537,9074
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Greatest Common Factor
We found the factors 9074,4646 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,4646 is 2.
Lets's calculate LCM of 250,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 30750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30750
Therefore, the GCF of Fractions 9074/250,4646/123 is 2/30750
Least Common Multiple of 250,123 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 250,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,123) x common factors =1 x 1 = 1
LCM(250,123) = ( 250 × 123 ) / 1
LCM(250,123) = 30750 / 1
LCM(250,123) = 30750
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FAQs on GCF of Fractions of 9074/250, 4646/123
1. What is the HCF of 9074,4646?
The HCF of 9074,4646 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 9074/250, 4646/123?
Answer: GCF of Numerators as per given numbers 9074/250, 4646/123 is
GCF of Numerators i.e. for 9074,4646 is 2
LCM of denominators i.e. for 250,123 is 30750.
Thus, GCF of Fractions is 2/30750.Finally, GCF of Fractions for 9074/250, 4646/123 is 2/30750.