GCF of 6779/634, 6180/1720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6779/634, 6180/1720 i.e 1/545240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6779/634, 6180/1720.
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 6779/634,6180/1720?
Given fractions are 6779/634,6180/1720
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 6779/634,6180/1720, numerators are 6779,6180
Denominators are 634,1720
The GCF of 6779,6180 is 1 .
LCM of 634,1720 is 545240.
The greatest common factor of 6779/634,6180/1720 = [GCF of 6779,6180]/[LCM of 634,1720]= 1/545240
Therefore, the GCF of 6779/634,6180/1720 is 1/545240.
To find the highest common factor of 6779,6180, we have to find the factors of both numbers and list the highest common factor.
The factors of 6779 are 1, 6779
The factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180
The HCF of 6779,6180 is 1.
Lets's calculate GCF of 6779,6180
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6779,6180 By Matching Biggest Common Factor Method
Now, list down the factors of 6779
:1,6779
Now, list down the factors of 6180
:1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180
Greatest Common Factor
We found the factors 6779,6180 . The biggest common factor number is the GCF number.
So the greatest common factor 6779,6180 is 1.
Lets's calculate LCM of 634,1720
| 2 | 634, 1720 |
| 317, 860 |
∴ So the LCM of the given numbers is 2 x 317 x 860 = 545240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545240
Therefore, the GCF of Fractions 6779/634,6180/1720 is 1/545240
Least Common Multiple of 634,1720 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 634,1720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,1720) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,1720) x common factors =2 x 1 = 2
LCM(634,1720) = ( 634 × 1720 ) / 2
LCM(634,1720) = 1090480 / 2
LCM(634,1720) = 545240
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FAQs on GCF of Fractions of 6779/634, 6180/1720
1. What is the HCF of 6779,6180?
The HCF of 6779,6180 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 6779/634, 6180/1720?
Answer: GCF of Numerators as per given numbers 6779/634, 6180/1720 is
GCF of Numerators i.e. for 6779,6180 is 1
LCM of denominators i.e. for 634,1720 is 545240.
Thus, GCF of Fractions is 1/545240.Finally, GCF of Fractions for 6779/634, 6180/1720 is 1/545240.