GCF of 770/236, 866/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/236, 866/438 i.e 2/51684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/236, 866/438.
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 770/236,866/438?
Given fractions are 770/236,866/438
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 770/236,866/438, numerators are 770,866
Denominators are 236,438
The GCF of 770,866 is 2 .
LCM of 236,438 is 51684.
The greatest common factor of 770/236,866/438 = [GCF of 770,866]/[LCM of 236,438]= 2/51684
Therefore, the GCF of 770/236,866/438 is 2/51684.
To find the highest common factor of 770,866, 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 866 are 1, 2, 433, 866
The HCF of 770,866 is 2.
Lets's calculate GCF of 770,866
| 2 | 770, 866 |
| 385, 433 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 770,866 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 866
:1,2,433,866
Greatest Common Factor
We found the factors 770,866 . The biggest common factor number is the GCF number.
So the greatest common factor 770,866 is 2.
Lets's calculate LCM of 236,438
| 2 | 236, 438 |
| 118, 219 |
∴ So the LCM of the given numbers is 2 x 118 x 219 = 51684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51684
Therefore, the GCF of Fractions 770/236,866/438 is 2/51684
Least Common Multiple of 236,438 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 236,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,438) x common factors =2 x 1 = 2
LCM(236,438) = ( 236 × 438 ) / 2
LCM(236,438) = 103368 / 2
LCM(236,438) = 51684
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FAQs on GCF of Fractions of 770/236, 866/438
1. What is the HCF of 770,866?
The HCF of 770,866 is 2
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 770/236, 866/438?
Answer: GCF of Numerators as per given numbers 770/236, 866/438 is
GCF of Numerators i.e. for 770,866 is 2
LCM of denominators i.e. for 236,438 is 51684.
Thus, GCF of Fractions is 2/51684.Finally, GCF of Fractions for 770/236, 866/438 is 2/51684.