GCF of 685/28, 765/4578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 685/28, 765/4578 i.e 5/9156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 685/28, 765/4578.
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 685/28,765/4578?
Given fractions are 685/28,765/4578
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 685/28,765/4578, numerators are 685,765
Denominators are 28,4578
The GCF of 685,765 is 5 .
LCM of 28,4578 is 9156.
The greatest common factor of 685/28,765/4578 = [GCF of 685,765]/[LCM of 28,4578]= 5/9156
Therefore, the GCF of 685/28,765/4578 is 5/9156.
To find the highest common factor of 685,765, we have to find the factors of both numbers and list the highest common factor.
The factors of 685 are 1, 5, 137, 685
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
The HCF of 685,765 is 5.
Lets's calculate GCF of 685,765
| 5 | 685, 765 |
| 137, 153 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 685,765 By Matching Biggest Common Factor Method
Now, list down the factors of 685
:1,5,137,685
Now, list down the factors of 765
:1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 685,765 . The biggest common factor number is the GCF number.
So the greatest common factor 685,765 is 5.
Lets's calculate LCM of 28,4578
| 2 | 28, 4578 |
| 7 | 14, 2289 |
| 2, 327 |
∴ So the LCM of the given numbers is 2 x 7 x 2 x 327 = 9156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9156
Therefore, the GCF of Fractions 685/28,765/4578 is 5/9156
Least Common Multiple of 28,4578 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 28,4578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,4578) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(28,4578) x common factors =14 x 1 = 14
LCM(28,4578) = ( 28 × 4578 ) / 14
LCM(28,4578) = 128184 / 14
LCM(28,4578) = 9156
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FAQs on GCF of Fractions of 685/28, 765/4578
1. What is the HCF of 685,765?
The HCF of 685,765 is 5
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 685/28, 765/4578?
Answer: GCF of Numerators as per given numbers 685/28, 765/4578 is
GCF of Numerators i.e. for 685,765 is 5
LCM of denominators i.e. for 28,4578 is 9156.
Thus, GCF of Fractions is 5/9156.Finally, GCF of Fractions for 685/28, 765/4578 is 5/9156.