GCF of 7294/643, 2263/4053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7294/643, 2263/4053 i.e 1/2606079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7294/643, 2263/4053.
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 7294/643,2263/4053?
Given fractions are 7294/643,2263/4053
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 7294/643,2263/4053, numerators are 7294,2263
Denominators are 643,4053
The GCF of 7294,2263 is 1 .
LCM of 643,4053 is 2606079.
The greatest common factor of 7294/643,2263/4053 = [GCF of 7294,2263]/[LCM of 643,4053]= 1/2606079
Therefore, the GCF of 7294/643,2263/4053 is 1/2606079.
To find the highest common factor of 7294,2263, we have to find the factors of both numbers and list the highest common factor.
The factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294
The factors of 2263 are 1, 31, 73, 2263
The HCF of 7294,2263 is 1.
Lets's calculate GCF of 7294,2263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7294,2263 By Matching Biggest Common Factor Method
Now, list down the factors of 7294
:1,2,7,14,521,1042,3647,7294
Now, list down the factors of 2263
:1,31,73,2263
Greatest Common Factor
We found the factors 7294,2263 . The biggest common factor number is the GCF number.
So the greatest common factor 7294,2263 is 1.
Lets's calculate LCM of 643,4053
Given numbers has no common factors except 1. So, there LCM is their product i.e 2606079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2606079
Therefore, the GCF of Fractions 7294/643,2263/4053 is 1/2606079
Least Common Multiple of 643,4053 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 643,4053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,4053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,4053) x common factors =1 x 1 = 1
LCM(643,4053) = ( 643 × 4053 ) / 1
LCM(643,4053) = 2606079 / 1
LCM(643,4053) = 2606079
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FAQs on GCF of Fractions of 7294/643, 2263/4053
1. What is the HCF of 7294,2263?
The HCF of 7294,2263 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 7294/643, 2263/4053?
Answer: GCF of Numerators as per given numbers 7294/643, 2263/4053 is
GCF of Numerators i.e. for 7294,2263 is 1
LCM of denominators i.e. for 643,4053 is 2606079.
Thus, GCF of Fractions is 1/2606079.Finally, GCF of Fractions for 7294/643, 2263/4053 is 1/2606079.