GCF of 307/778, 680/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 307/778, 680/558 i.e 1/217062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/778, 680/558.
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 307/778,680/558?
Given fractions are 307/778,680/558
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 307/778,680/558, numerators are 307,680
Denominators are 778,558
The GCF of 307,680 is 1 .
LCM of 778,558 is 217062.
The greatest common factor of 307/778,680/558 = [GCF of 307,680]/[LCM of 778,558]= 1/217062
Therefore, the GCF of 307/778,680/558 is 1/217062.
To find the highest common factor of 307,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 307 are 1, 307
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 307,680 is 1.
Lets's calculate GCF of 307,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 307,680 By Matching Biggest Common Factor Method
Now, list down the factors of 307
:1,307
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 307,680 . The biggest common factor number is the GCF number.
So the greatest common factor 307,680 is 1.
Lets's calculate LCM of 778,558
| 2 | 778, 558 |
| 389, 279 |
∴ So the LCM of the given numbers is 2 x 389 x 279 = 217062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217062
Therefore, the GCF of Fractions 307/778,680/558 is 1/217062
Least Common Multiple of 778,558 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 778,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,558) x common factors =2 x 1 = 2
LCM(778,558) = ( 778 × 558 ) / 2
LCM(778,558) = 434124 / 2
LCM(778,558) = 217062
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FAQs on GCF of Fractions of 307/778, 680/558
1. What is the HCF of 307,680?
The HCF of 307,680 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 307/778, 680/558?
Answer: GCF of Numerators as per given numbers 307/778, 680/558 is
GCF of Numerators i.e. for 307,680 is 1
LCM of denominators i.e. for 778,558 is 217062.
Thus, GCF of Fractions is 1/217062.Finally, GCF of Fractions for 307/778, 680/558 is 1/217062.