GCF of 2675/590, 3688/6914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2675/590, 3688/6914 i.e 1/2039630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2675/590, 3688/6914.
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 2675/590,3688/6914?
Given fractions are 2675/590,3688/6914
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 2675/590,3688/6914, numerators are 2675,3688
Denominators are 590,6914
The GCF of 2675,3688 is 1 .
LCM of 590,6914 is 2039630.
The greatest common factor of 2675/590,3688/6914 = [GCF of 2675,3688]/[LCM of 590,6914]= 1/2039630
Therefore, the GCF of 2675/590,3688/6914 is 1/2039630.
To find the highest common factor of 2675,3688, we have to find the factors of both numbers and list the highest common factor.
The factors of 2675 are 1, 5, 25, 107, 535, 2675
The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688
The HCF of 2675,3688 is 1.
Lets's calculate GCF of 2675,3688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2675,3688 By Matching Biggest Common Factor Method
Now, list down the factors of 2675
:1,5,25,107,535,2675
Now, list down the factors of 3688
:1,2,4,8,461,922,1844,3688
Greatest Common Factor
We found the factors 2675,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 2675,3688 is 1.
Lets's calculate LCM of 590,6914
| 2 | 590, 6914 |
| 295, 3457 |
∴ So the LCM of the given numbers is 2 x 295 x 3457 = 2039630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2039630
Therefore, the GCF of Fractions 2675/590,3688/6914 is 1/2039630
Least Common Multiple of 590,6914 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 590,6914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,6914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,6914) x common factors =2 x 1 = 2
LCM(590,6914) = ( 590 × 6914 ) / 2
LCM(590,6914) = 4079260 / 2
LCM(590,6914) = 2039630
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FAQs on GCF of Fractions of 2675/590, 3688/6914
1. What is the HCF of 2675,3688?
The HCF of 2675,3688 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 2675/590, 3688/6914?
Answer: GCF of Numerators as per given numbers 2675/590, 3688/6914 is
GCF of Numerators i.e. for 2675,3688 is 1
LCM of denominators i.e. for 590,6914 is 2039630.
Thus, GCF of Fractions is 1/2039630.Finally, GCF of Fractions for 2675/590, 3688/6914 is 1/2039630.