GCF of 4571/142, 9725/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4571/142, 9725/506 i.e 1/35926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4571/142, 9725/506.
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 4571/142,9725/506?
Given fractions are 4571/142,9725/506
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 4571/142,9725/506, numerators are 4571,9725
Denominators are 142,506
The GCF of 4571,9725 is 1 .
LCM of 142,506 is 35926.
The greatest common factor of 4571/142,9725/506 = [GCF of 4571,9725]/[LCM of 142,506]= 1/35926
Therefore, the GCF of 4571/142,9725/506 is 1/35926.
To find the highest common factor of 4571,9725, we have to find the factors of both numbers and list the highest common factor.
The factors of 4571 are 1, 7, 653, 4571
The factors of 9725 are 1, 5, 25, 389, 1945, 9725
The HCF of 4571,9725 is 1.
Lets's calculate GCF of 4571,9725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4571,9725 By Matching Biggest Common Factor Method
Now, list down the factors of 4571
:1,7,653,4571
Now, list down the factors of 9725
:1,5,25,389,1945,9725
Greatest Common Factor
We found the factors 4571,9725 . The biggest common factor number is the GCF number.
So the greatest common factor 4571,9725 is 1.
Lets's calculate LCM of 142,506
| 2 | 142, 506 |
| 71, 253 |
∴ So the LCM of the given numbers is 2 x 71 x 253 = 35926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35926
Therefore, the GCF of Fractions 4571/142,9725/506 is 1/35926
Least Common Multiple of 142,506 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 142,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,506) x common factors =2 x 1 = 2
LCM(142,506) = ( 142 × 506 ) / 2
LCM(142,506) = 71852 / 2
LCM(142,506) = 35926
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FAQs on GCF of Fractions of 4571/142, 9725/506
1. What is the HCF of 4571,9725?
The HCF of 4571,9725 is 1
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 4571/142, 9725/506?
Answer: GCF of Numerators as per given numbers 4571/142, 9725/506 is
GCF of Numerators i.e. for 4571,9725 is 1
LCM of denominators i.e. for 142,506 is 35926.
Thus, GCF of Fractions is 1/35926.Finally, GCF of Fractions for 4571/142, 9725/506 is 1/35926.