GCF of 2924/241, 5474/6759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2924/241, 5474/6759 i.e 34/1628919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2924/241, 5474/6759.
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 2924/241,5474/6759?
Given fractions are 2924/241,5474/6759
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 2924/241,5474/6759, numerators are 2924,5474
Denominators are 241,6759
The GCF of 2924,5474 is 34 .
LCM of 241,6759 is 1628919.
The greatest common factor of 2924/241,5474/6759 = [GCF of 2924,5474]/[LCM of 241,6759]= 34/1628919
Therefore, the GCF of 2924/241,5474/6759 is 34/1628919.
To find the highest common factor of 2924,5474, we have to find the factors of both numbers and list the highest common factor.
The factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924
The factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474
The HCF of 2924,5474 is 34.
Lets's calculate GCF of 2924,5474
| 2 | 2924, 5474 |
| 17 | 1462, 2737 |
| 86, 161 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 2924,5474 By Matching Biggest Common Factor Method
Now, list down the factors of 2924
:1,2,4,17,34,43,68,86,172,731,1462,2924
Now, list down the factors of 5474
:1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474
Greatest Common Factor
We found the factors 2924,5474 . The biggest common factor number is the GCF number.
So the greatest common factor 2924,5474 is 34.
Lets's calculate LCM of 241,6759
Given numbers has no common factors except 1. So, there LCM is their product i.e 1628919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1628919
Therefore, the GCF of Fractions 2924/241,5474/6759 is 34/1628919
Least Common Multiple of 241,6759 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 241,6759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,6759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,6759) x common factors =1 x 1 = 1
LCM(241,6759) = ( 241 × 6759 ) / 1
LCM(241,6759) = 1628919 / 1
LCM(241,6759) = 1628919
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FAQs on GCF of Fractions of 2924/241, 5474/6759
1. What is the HCF of 2924,5474?
The HCF of 2924,5474 is 34
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 2924/241, 5474/6759?
Answer: GCF of Numerators as per given numbers 2924/241, 5474/6759 is
GCF of Numerators i.e. for 2924,5474 is 34
LCM of denominators i.e. for 241,6759 is 1628919.
Thus, GCF of Fractions is 34/1628919.Finally, GCF of Fractions for 2924/241, 5474/6759 is 34/1628919.