GCF of 770/233, 319/635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/233, 319/635 i.e 11/147955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/233, 319/635.
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 770/233,319/635?
Given fractions are 770/233,319/635
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 770/233,319/635, numerators are 770,319
Denominators are 233,635
The GCF of 770,319 is 11 .
LCM of 233,635 is 147955.
The greatest common factor of 770/233,319/635 = [GCF of 770,319]/[LCM of 233,635]= 11/147955
Therefore, the GCF of 770/233,319/635 is 11/147955.
To find the highest common factor of 770,319, 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 319 are 1, 11, 29, 319
The HCF of 770,319 is 11.
Lets's calculate GCF of 770,319
| 11 | 770, 319 |
| 70, 29 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 770,319 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 319
:1,11,29,319
Greatest Common Factor
We found the factors 770,319 . The biggest common factor number is the GCF number.
So the greatest common factor 770,319 is 11.
Lets's calculate LCM of 233,635
Given numbers has no common factors except 1. So, there LCM is their product i.e 147955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/147955
Therefore, the GCF of Fractions 770/233,319/635 is 11/147955
Least Common Multiple of 233,635 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 233,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,635) x common factors =1 x 1 = 1
LCM(233,635) = ( 233 × 635 ) / 1
LCM(233,635) = 147955 / 1
LCM(233,635) = 147955
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 770/233, 319/635
1. What is the HCF of 770,319?
The HCF of 770,319 is 11
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 770/233, 319/635?
Answer: GCF of Numerators as per given numbers 770/233, 319/635 is
GCF of Numerators i.e. for 770,319 is 11
LCM of denominators i.e. for 233,635 is 147955.
Thus, GCF of Fractions is 11/147955.Finally, GCF of Fractions for 770/233, 319/635 is 11/147955.