GCF of 5624/285, 2709/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5624/285, 2709/942 i.e 1/89490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5624/285, 2709/942.
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 5624/285,2709/942?
Given fractions are 5624/285,2709/942
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 5624/285,2709/942, numerators are 5624,2709
Denominators are 285,942
The GCF of 5624,2709 is 1 .
LCM of 285,942 is 89490.
The greatest common factor of 5624/285,2709/942 = [GCF of 5624,2709]/[LCM of 285,942]= 1/89490
Therefore, the GCF of 5624/285,2709/942 is 1/89490.
To find the highest common factor of 5624,2709, we have to find the factors of both numbers and list the highest common factor.
The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
The factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709
The HCF of 5624,2709 is 1.
Lets's calculate GCF of 5624,2709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5624,2709 By Matching Biggest Common Factor Method
Now, list down the factors of 5624
:1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Now, list down the factors of 2709
:1,3,7,9,21,43,63,129,301,387,903,2709
Greatest Common Factor
We found the factors 5624,2709 . The biggest common factor number is the GCF number.
So the greatest common factor 5624,2709 is 1.
Lets's calculate LCM of 285,942
| 3 | 285, 942 |
| 95, 314 |
∴ So the LCM of the given numbers is 3 x 95 x 314 = 89490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89490
Therefore, the GCF of Fractions 5624/285,2709/942 is 1/89490
Least Common Multiple of 285,942 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 285,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,942) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,942) x common factors =3 x 1 = 3
LCM(285,942) = ( 285 × 942 ) / 3
LCM(285,942) = 268470 / 3
LCM(285,942) = 89490
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FAQs on GCF of Fractions of 5624/285, 2709/942
1. What is the HCF of 5624,2709?
The HCF of 5624,2709 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 5624/285, 2709/942?
Answer: GCF of Numerators as per given numbers 5624/285, 2709/942 is
GCF of Numerators i.e. for 5624,2709 is 1
LCM of denominators i.e. for 285,942 is 89490.
Thus, GCF of Fractions is 1/89490.Finally, GCF of Fractions for 5624/285, 2709/942 is 1/89490.