GCF of 1203/431, 5144/4702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1203/431, 5144/4702 i.e 1/2026562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1203/431, 5144/4702.
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 1203/431,5144/4702?
Given fractions are 1203/431,5144/4702
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 1203/431,5144/4702, numerators are 1203,5144
Denominators are 431,4702
The GCF of 1203,5144 is 1 .
LCM of 431,4702 is 2026562.
The greatest common factor of 1203/431,5144/4702 = [GCF of 1203,5144]/[LCM of 431,4702]= 1/2026562
Therefore, the GCF of 1203/431,5144/4702 is 1/2026562.
To find the highest common factor of 1203,5144, we have to find the factors of both numbers and list the highest common factor.
The factors of 1203 are 1, 3, 401, 1203
The factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144
The HCF of 1203,5144 is 1.
Lets's calculate GCF of 1203,5144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1203,5144 By Matching Biggest Common Factor Method
Now, list down the factors of 1203
:1,3,401,1203
Now, list down the factors of 5144
:1,2,4,8,643,1286,2572,5144
Greatest Common Factor
We found the factors 1203,5144 . The biggest common factor number is the GCF number.
So the greatest common factor 1203,5144 is 1.
Lets's calculate LCM of 431,4702
Given numbers has no common factors except 1. So, there LCM is their product i.e 2026562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2026562
Therefore, the GCF of Fractions 1203/431,5144/4702 is 1/2026562
Least Common Multiple of 431,4702 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 431,4702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,4702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,4702) x common factors =1 x 1 = 1
LCM(431,4702) = ( 431 × 4702 ) / 1
LCM(431,4702) = 2026562 / 1
LCM(431,4702) = 2026562
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FAQs on GCF of Fractions of 1203/431, 5144/4702
1. What is the HCF of 1203,5144?
The HCF of 1203,5144 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 1203/431, 5144/4702?
Answer: GCF of Numerators as per given numbers 1203/431, 5144/4702 is
GCF of Numerators i.e. for 1203,5144 is 1
LCM of denominators i.e. for 431,4702 is 2026562.
Thus, GCF of Fractions is 1/2026562.Finally, GCF of Fractions for 1203/431, 5144/4702 is 1/2026562.