GCF of 8176/942, 2372/9742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8176/942, 2372/9742 i.e 4/4588482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8176/942, 2372/9742.
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 8176/942,2372/9742?
Given fractions are 8176/942,2372/9742
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 8176/942,2372/9742, numerators are 8176,2372
Denominators are 942,9742
The GCF of 8176,2372 is 4 .
LCM of 942,9742 is 4588482.
The greatest common factor of 8176/942,2372/9742 = [GCF of 8176,2372]/[LCM of 942,9742]= 4/4588482
Therefore, the GCF of 8176/942,2372/9742 is 4/4588482.
To find the highest common factor of 8176,2372, we have to find the factors of both numbers and list the highest common factor.
The factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176
The factors of 2372 are 1, 2, 4, 593, 1186, 2372
The HCF of 8176,2372 is 4.
Lets's calculate GCF of 8176,2372
| 2 | 8176, 2372 |
| 2 | 4088, 1186 |
| 2044, 593 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8176,2372 By Matching Biggest Common Factor Method
Now, list down the factors of 8176
:1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176
Now, list down the factors of 2372
:1,2,4,593,1186,2372
Greatest Common Factor
We found the factors 8176,2372 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,2372 is 4.
Lets's calculate LCM of 942,9742
| 2 | 942, 9742 |
| 471, 4871 |
∴ So the LCM of the given numbers is 2 x 471 x 4871 = 4588482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4588482
Therefore, the GCF of Fractions 8176/942,2372/9742 is 4/4588482
Least Common Multiple of 942,9742 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 942,9742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,9742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,9742) x common factors =2 x 1 = 2
LCM(942,9742) = ( 942 × 9742 ) / 2
LCM(942,9742) = 9176964 / 2
LCM(942,9742) = 4588482
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FAQs on GCF of Fractions of 8176/942, 2372/9742
1. What is the HCF of 8176,2372?
The HCF of 8176,2372 is 4
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 8176/942, 2372/9742?
Answer: GCF of Numerators as per given numbers 8176/942, 2372/9742 is
GCF of Numerators i.e. for 8176,2372 is 4
LCM of denominators i.e. for 942,9742 is 4588482.
Thus, GCF of Fractions is 4/4588482.Finally, GCF of Fractions for 8176/942, 2372/9742 is 4/4588482.