GCF of 293/149, 4829/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 293/149, 4829/759 i.e 1/113091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/149, 4829/759.
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 293/149,4829/759?
Given fractions are 293/149,4829/759
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 293/149,4829/759, numerators are 293,4829
Denominators are 149,759
The GCF of 293,4829 is 1 .
LCM of 149,759 is 113091.
The greatest common factor of 293/149,4829/759 = [GCF of 293,4829]/[LCM of 149,759]= 1/113091
Therefore, the GCF of 293/149,4829/759 is 1/113091.
To find the highest common factor of 293,4829, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 4829 are 1, 11, 439, 4829
The HCF of 293,4829 is 1.
Lets's calculate GCF of 293,4829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 293,4829 By Matching Biggest Common Factor Method
Now, list down the factors of 293
:1,293
Now, list down the factors of 4829
:1,11,439,4829
Greatest Common Factor
We found the factors 293,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 293,4829 is 1.
Lets's calculate LCM of 149,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 113091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113091
Therefore, the GCF of Fractions 293/149,4829/759 is 1/113091
Least Common Multiple of 149,759 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 149,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,759) x common factors =1 x 1 = 1
LCM(149,759) = ( 149 × 759 ) / 1
LCM(149,759) = 113091 / 1
LCM(149,759) = 113091
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FAQs on GCF of Fractions of 293/149, 4829/759
1. What is the HCF of 293,4829?
The HCF of 293,4829 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 293/149, 4829/759?
Answer: GCF of Numerators as per given numbers 293/149, 4829/759 is
GCF of Numerators i.e. for 293,4829 is 1
LCM of denominators i.e. for 149,759 is 113091.
Thus, GCF of Fractions is 1/113091.Finally, GCF of Fractions for 293/149, 4829/759 is 1/113091.