GCF of 3/85, 786/90, 657/80
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/85, 786/90, 657/80 i.e 3/12240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/85, 786/90, 657/80.
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 3/85,786/90,657/80?
Given fractions are 3/85,786/90,657/80
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 3/85,786/90,657/80, numerators are 3,786,657
Denominators are 85,90,80
The GCF of 3,786,657 is 3 .
LCM of 85,90,80 is 12240.
The greatest common factor of 3/85,786/90,657/80 = [GCF of 3,786,657]/[LCM of 85,90,80]= 3/12240
Therefore, the GCF of 3/85,786/90,657/80 is 3/12240.
To find the highest common factor of 3,786,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 3,786,657 is 3.
Lets's calculate GCF of 3,786,657
| 3 | 3, 786, 657 |
| 1, 262, 219 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3,786,657 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 3,786,657 . The biggest common factor number is the GCF number.
So the greatest common factor 3,786,657 is 3.
Lets's calculate LCM of 85,90,80
| 2 | 85, 90, 80 |
| 5 | 85, 45, 40 |
| 17, 9, 8 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 9 x 8 = 12240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12240
Therefore, the GCF of Fractions 3/85,786/90,657/80 is 3/12240
Least Common Multiple of 85,90,80 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 85,90,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,90,80) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(85,90,80) x common factors =5 x 10 = 50
LCM(85,90,80) = ( 85 × 90 × 80 ) / 50
LCM(85,90,80) = 612000 / 50
LCM(85,90,80) = 12240
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FAQs on GCF of Fractions of 3/85, 786/90, 657/80
1. What is the HCF of 3,786,657?
The HCF of 3,786,657 is 3
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 3/85, 786/90, 657/80?
Answer: GCF of Numerators as per given numbers 3/85, 786/90, 657/80 is
GCF of Numerators i.e. for 3,786,657 is 3
LCM of denominators i.e. for 85,90,80 is 12240.
Thus, GCF of Fractions is 3/12240.Finally, GCF of Fractions for 3/85, 786/90, 657/80 is 3/12240.