GCF of 8176/71, 8346/668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8176/71, 8346/668 i.e 2/47428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8176/71, 8346/668.
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 8176/71,8346/668?
Given fractions are 8176/71,8346/668
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 8176/71,8346/668, numerators are 8176,8346
Denominators are 71,668
The GCF of 8176,8346 is 2 .
LCM of 71,668 is 47428.
The greatest common factor of 8176/71,8346/668 = [GCF of 8176,8346]/[LCM of 71,668]= 2/47428
Therefore, the GCF of 8176/71,8346/668 is 2/47428.
To find the highest common factor of 8176,8346, 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 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346
The HCF of 8176,8346 is 2.
Lets's calculate GCF of 8176,8346
| 2 | 8176, 8346 |
| 4088, 4173 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8176,8346 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 8346
:1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Greatest Common Factor
We found the factors 8176,8346 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,8346 is 2.
Lets's calculate LCM of 71,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 47428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47428
Therefore, the GCF of Fractions 8176/71,8346/668 is 2/47428
Least Common Multiple of 71,668 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 71,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,668) x common factors =1 x 1 = 1
LCM(71,668) = ( 71 × 668 ) / 1
LCM(71,668) = 47428 / 1
LCM(71,668) = 47428
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FAQs on GCF of Fractions of 8176/71, 8346/668
1. What is the HCF of 8176,8346?
The HCF of 8176,8346 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 8176/71, 8346/668?
Answer: GCF of Numerators as per given numbers 8176/71, 8346/668 is
GCF of Numerators i.e. for 8176,8346 is 2
LCM of denominators i.e. for 71,668 is 47428.
Thus, GCF of Fractions is 2/47428.Finally, GCF of Fractions for 8176/71, 8346/668 is 2/47428.