GCF of 1037/660, 3708/2775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1037/660, 3708/2775 i.e 1/122100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1037/660, 3708/2775.
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 1037/660,3708/2775?
Given fractions are 1037/660,3708/2775
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 1037/660,3708/2775, numerators are 1037,3708
Denominators are 660,2775
The GCF of 1037,3708 is 1 .
LCM of 660,2775 is 122100.
The greatest common factor of 1037/660,3708/2775 = [GCF of 1037,3708]/[LCM of 660,2775]= 1/122100
Therefore, the GCF of 1037/660,3708/2775 is 1/122100.
To find the highest common factor of 1037,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 1037 are 1, 17, 61, 1037
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 1037,3708 is 1.
Lets's calculate GCF of 1037,3708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1037,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 1037
:1,17,61,1037
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 1037,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 1037,3708 is 1.
Lets's calculate LCM of 660,2775
| 3 | 660, 2775 |
| 5 | 220, 925 |
| 44, 185 |
∴ So the LCM of the given numbers is 3 x 5 x 44 x 185 = 122100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122100
Therefore, the GCF of Fractions 1037/660,3708/2775 is 1/122100
Least Common Multiple of 660,2775 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 660,2775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,2775) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(660,2775) x common factors =15 x 1 = 15
LCM(660,2775) = ( 660 × 2775 ) / 15
LCM(660,2775) = 1831500 / 15
LCM(660,2775) = 122100
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FAQs on GCF of Fractions of 1037/660, 3708/2775
1. What is the HCF of 1037,3708?
The HCF of 1037,3708 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 1037/660, 3708/2775?
Answer: GCF of Numerators as per given numbers 1037/660, 3708/2775 is
GCF of Numerators i.e. for 1037,3708 is 1
LCM of denominators i.e. for 660,2775 is 122100.
Thus, GCF of Fractions is 1/122100.Finally, GCF of Fractions for 1037/660, 3708/2775 is 1/122100.