GCF of 39/29, 385/24, 680/772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/29, 385/24, 680/772 i.e 1/134328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/29, 385/24, 680/772.
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 39/29,385/24,680/772?
Given fractions are 39/29,385/24,680/772
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 39/29,385/24,680/772, numerators are 39,385,680
Denominators are 29,24,772
The GCF of 39,385,680 is 1 .
LCM of 29,24,772 is 134328.
The greatest common factor of 39/29,385/24,680/772 = [GCF of 39,385,680]/[LCM of 29,24,772]= 1/134328
Therefore, the GCF of 39/29,385/24,680/772 is 1/134328.
To find the highest common factor of 39,385,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 39,385,680 is 1.
Lets's calculate GCF of 39,385,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,385,680 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 39,385,680 . The biggest common factor number is the GCF number.
So the greatest common factor 39,385,680 is 1.
Lets's calculate LCM of 29,24,772
| 2 | 29, 24, 772 |
| 2 | 29, 12, 386 |
| 29, 6, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 6 x 193 = 134328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134328
Therefore, the GCF of Fractions 39/29,385/24,680/772 is 1/134328
Least Common Multiple of 29,24,772 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 29,24,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,24,772) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(29,24,772) x common factors =1 x 4 = 4
LCM(29,24,772) = ( 29 × 24 × 772 ) / 4
LCM(29,24,772) = 537312 / 4
LCM(29,24,772) = 134328
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FAQs on GCF of Fractions of 39/29, 385/24, 680/772
1. What is the HCF of 39,385,680?
The HCF of 39,385,680 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 39/29, 385/24, 680/772?
Answer: GCF of Numerators as per given numbers 39/29, 385/24, 680/772 is
GCF of Numerators i.e. for 39,385,680 is 1
LCM of denominators i.e. for 29,24,772 is 134328.
Thus, GCF of Fractions is 1/134328.Finally, GCF of Fractions for 39/29, 385/24, 680/772 is 1/134328.