GCF of 770/66, 290/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/66, 290/231 i.e 10/462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/66, 290/231.
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 770/66,290/231?
Given fractions are 770/66,290/231
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 770/66,290/231, numerators are 770,290
Denominators are 66,231
The GCF of 770,290 is 10 .
LCM of 66,231 is 462.
The greatest common factor of 770/66,290/231 = [GCF of 770,290]/[LCM of 66,231]= 10/462
Therefore, the GCF of 770/66,290/231 is 10/462.
To find the highest common factor of 770,290, 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 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 770,290 is 10.
Lets's calculate GCF of 770,290
| 2 | 770, 290 |
| 5 | 385, 145 |
| 77, 29 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 770,290 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 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 770,290 . The biggest common factor number is the GCF number.
So the greatest common factor 770,290 is 10.
Lets's calculate LCM of 66,231
| 3 | 66, 231 |
| 11 | 22, 77 |
| 2, 7 |
∴ So the LCM of the given numbers is 3 x 11 x 2 x 7 = 462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/462
Therefore, the GCF of Fractions 770/66,290/231 is 10/462
Least Common Multiple of 66,231 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 66,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,231) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(66,231) x common factors =33 x 1 = 33
LCM(66,231) = ( 66 × 231 ) / 33
LCM(66,231) = 15246 / 33
LCM(66,231) = 462
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FAQs on GCF of Fractions of 770/66, 290/231
1. What is the HCF of 770,290?
The HCF of 770,290 is 10
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 770/66, 290/231?
Answer: GCF of Numerators as per given numbers 770/66, 290/231 is
GCF of Numerators i.e. for 770,290 is 10
LCM of denominators i.e. for 66,231 is 462.
Thus, GCF of Fractions is 10/462.Finally, GCF of Fractions for 770/66, 290/231 is 10/462.