GCF of 595/59, 140/45, 770/85
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 595/59, 140/45, 770/85 i.e 35/45135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/59, 140/45, 770/85.
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 595/59,140/45,770/85?
Given fractions are 595/59,140/45,770/85
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 595/59,140/45,770/85, numerators are 595,140,770
Denominators are 59,45,85
The GCF of 595,140,770 is 35 .
LCM of 59,45,85 is 45135.
The greatest common factor of 595/59,140/45,770/85 = [GCF of 595,140,770]/[LCM of 59,45,85]= 35/45135
Therefore, the GCF of 595/59,140/45,770/85 is 35/45135.
To find the highest common factor of 595,140,770, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The HCF of 595,140,770 is 35.
Lets's calculate GCF of 595,140,770
| 5 | 595, 140, 770 |
| 7 | 119, 28, 154 |
| 17, 4, 22 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 595,140,770 By Matching Biggest Common Factor Method
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 595,140,770 . The biggest common factor number is the GCF number.
So the greatest common factor 595,140,770 is 35.
Lets's calculate LCM of 59,45,85
| 5 | 59, 45, 85 |
| 59, 9, 17 |
∴ So the LCM of the given numbers is 5 x 59 x 9 x 17 = 45135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/45135
Therefore, the GCF of Fractions 595/59,140/45,770/85 is 35/45135
Least Common Multiple of 59,45,85 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 59,45,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,45,85) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(59,45,85) x common factors =1 x 5 = 5
LCM(59,45,85) = ( 59 × 45 × 85 ) / 5
LCM(59,45,85) = 225675 / 5
LCM(59,45,85) = 45135
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FAQs on GCF of Fractions of 595/59, 140/45, 770/85
1. What is the HCF of 595,140,770?
The HCF of 595,140,770 is 35
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 595/59, 140/45, 770/85?
Answer: GCF of Numerators as per given numbers 595/59, 140/45, 770/85 is
GCF of Numerators i.e. for 595,140,770 is 35
LCM of denominators i.e. for 59,45,85 is 45135.
Thus, GCF of Fractions is 35/45135.Finally, GCF of Fractions for 595/59, 140/45, 770/85 is 35/45135.