GCF of 8/76, 10/34, 72/836, 577/446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/76, 10/34, 72/836, 577/446 i.e 1/3169276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/76, 10/34, 72/836, 577/446.
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 8/76,10/34,72/836,577/446?
Given fractions are 8/76,10/34,72/836,577/446
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 8/76,10/34,72/836,577/446, numerators are 8,10,72,577
Denominators are 76,34,836,446
The GCF of 8,10,72,577 is 1 .
LCM of 76,34,836,446 is 3169276.
The greatest common factor of 8/76,10/34,72/836,577/446 = [GCF of 8,10,72,577]/[LCM of 76,34,836,446]= 1/3169276
Therefore, the GCF of 8/76,10/34,72/836,577/446 is 1/3169276.
To find the highest common factor of 8,10,72,577, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 10 are 1, 2, 5, 10
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 577 are 1, 577
The HCF of 8,10,72,577 is 1.
Lets's calculate GCF of 8,10,72,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8,10,72,577 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 577
:1,577
Greatest Common Factor
We found the factors 8,10,72,577 . The biggest common factor number is the GCF number.
So the greatest common factor 8,10,72,577 is 1.
Lets's calculate LCM of 76,34,836,446
| 2 | 76, 34, 836, 446 |
| 2 | 38, 17, 418, 223 |
| 19 | 19, 17, 209, 223 |
| 1, 17, 11, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 17 x 11 x 223 = 3169276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3169276
Therefore, the GCF of Fractions 8/76,10/34,72/836,577/446 is 1/3169276
Least Common Multiple of 76,34,836,446 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 76,34,836,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,34,836,446) = 2
common factors(in case of two or more numbers have common factors) = 152
GCF(76,34,836,446) x common factors =2 x 152 = 304
LCM(76,34,836,446) = ( 76 × 34 × 836 × 446 ) / 304
LCM(76,34,836,446) = 963459904 / 304
LCM(76,34,836,446) = 3169276
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8/76, 10/34, 72/836, 577/446
1. What is the HCF of 8,10,72,577?
The HCF of 8,10,72,577 is 1
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 8/76, 10/34, 72/836, 577/446?
Answer: GCF of Numerators as per given numbers 8/76, 10/34, 72/836, 577/446 is
GCF of Numerators i.e. for 8,10,72,577 is 1
LCM of denominators i.e. for 76,34,836,446 is 3169276.
Thus, GCF of Fractions is 1/3169276.Finally, GCF of Fractions for 8/76, 10/34, 72/836, 577/446 is 1/3169276.