GCF of 452/430, 142/250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 452/430, 142/250 i.e 2/10750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/430, 142/250.
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 452/430,142/250?
Given fractions are 452/430,142/250
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 452/430,142/250, numerators are 452,142
Denominators are 430,250
The GCF of 452,142 is 2 .
LCM of 430,250 is 10750.
The greatest common factor of 452/430,142/250 = [GCF of 452,142]/[LCM of 430,250]= 2/10750
Therefore, the GCF of 452/430,142/250 is 2/10750.
To find the highest common factor of 452,142, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 142 are 1, 2, 71, 142
The HCF of 452,142 is 2.
Lets's calculate GCF of 452,142
| 2 | 452, 142 |
| 226, 71 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 452,142 By Matching Biggest Common Factor Method
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 142
:1,2,71,142
Greatest Common Factor
We found the factors 452,142 . The biggest common factor number is the GCF number.
So the greatest common factor 452,142 is 2.
Lets's calculate LCM of 430,250
| 2 | 430, 250 |
| 5 | 215, 125 |
| 43, 25 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 25 = 10750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10750
Therefore, the GCF of Fractions 452/430,142/250 is 2/10750
Least Common Multiple of 430,250 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 430,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,250) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(430,250) x common factors =10 x 1 = 10
LCM(430,250) = ( 430 × 250 ) / 10
LCM(430,250) = 107500 / 10
LCM(430,250) = 10750
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FAQs on GCF of Fractions of 452/430, 142/250
1. What is the HCF of 452,142?
The HCF of 452,142 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 452/430, 142/250?
Answer: GCF of Numerators as per given numbers 452/430, 142/250 is
GCF of Numerators i.e. for 452,142 is 2
LCM of denominators i.e. for 430,250 is 10750.
Thus, GCF of Fractions is 2/10750.Finally, GCF of Fractions for 452/430, 142/250 is 2/10750.