GCF of 770/35, 575/5459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/35, 575/5459 i.e 5/191065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/35, 575/5459.
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 770/35,575/5459?
Given fractions are 770/35,575/5459
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 770/35,575/5459, numerators are 770,575
Denominators are 35,5459
The GCF of 770,575 is 5 .
LCM of 35,5459 is 191065.
The greatest common factor of 770/35,575/5459 = [GCF of 770,575]/[LCM of 35,5459]= 5/191065
Therefore, the GCF of 770/35,575/5459 is 5/191065.
To find the highest common factor of 770,575, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 575 are 1, 5, 23, 25, 115, 575
The HCF of 770,575 is 5.
Lets's calculate GCF of 770,575
| 5 | 770, 575 |
| 154, 115 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 770,575 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 575
:1,5,23,25,115,575
Greatest Common Factor
We found the factors 770,575 . The biggest common factor number is the GCF number.
So the greatest common factor 770,575 is 5.
Lets's calculate LCM of 35,5459
Given numbers has no common factors except 1. So, there LCM is their product i.e 191065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/191065
Therefore, the GCF of Fractions 770/35,575/5459 is 5/191065
Least Common Multiple of 35,5459 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 35,5459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,5459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,5459) x common factors =1 x 1 = 1
LCM(35,5459) = ( 35 × 5459 ) / 1
LCM(35,5459) = 191065 / 1
LCM(35,5459) = 191065
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FAQs on GCF of Fractions of 770/35, 575/5459
1. What is the HCF of 770,575?
The HCF of 770,575 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 770/35, 575/5459?
Answer: GCF of Numerators as per given numbers 770/35, 575/5459 is
GCF of Numerators i.e. for 770,575 is 5
LCM of denominators i.e. for 35,5459 is 191065.
Thus, GCF of Fractions is 5/191065.Finally, GCF of Fractions for 770/35, 575/5459 is 5/191065.