GCF of 143/85, 202/4260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 143/85, 202/4260 i.e 1/72420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/85, 202/4260.
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 143/85,202/4260?
Given fractions are 143/85,202/4260
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 143/85,202/4260, numerators are 143,202
Denominators are 85,4260
The GCF of 143,202 is 1 .
LCM of 85,4260 is 72420.
The greatest common factor of 143/85,202/4260 = [GCF of 143,202]/[LCM of 85,4260]= 1/72420
Therefore, the GCF of 143/85,202/4260 is 1/72420.
To find the highest common factor of 143,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 143 are 1, 11, 13, 143
The factors of 202 are 1, 2, 101, 202
The HCF of 143,202 is 1.
Lets's calculate GCF of 143,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 143,202 By Matching Biggest Common Factor Method
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 143,202 . The biggest common factor number is the GCF number.
So the greatest common factor 143,202 is 1.
Lets's calculate LCM of 85,4260
| 5 | 85, 4260 |
| 17, 852 |
∴ So the LCM of the given numbers is 5 x 17 x 852 = 72420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72420
Therefore, the GCF of Fractions 143/85,202/4260 is 1/72420
Least Common Multiple of 85,4260 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 85,4260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,4260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(85,4260) x common factors =5 x 1 = 5
LCM(85,4260) = ( 85 × 4260 ) / 5
LCM(85,4260) = 362100 / 5
LCM(85,4260) = 72420
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FAQs on GCF of Fractions of 143/85, 202/4260
1. What is the HCF of 143,202?
The HCF of 143,202 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 143/85, 202/4260?
Answer: GCF of Numerators as per given numbers 143/85, 202/4260 is
GCF of Numerators i.e. for 143,202 is 1
LCM of denominators i.e. for 85,4260 is 72420.
Thus, GCF of Fractions is 1/72420.Finally, GCF of Fractions for 143/85, 202/4260 is 1/72420.