GCF of 3316/869, 1674/8167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3316/869, 1674/8167 i.e 2/7097123 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3316/869, 1674/8167.
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 3316/869,1674/8167?
Given fractions are 3316/869,1674/8167
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 3316/869,1674/8167, numerators are 3316,1674
Denominators are 869,8167
The GCF of 3316,1674 is 2 .
LCM of 869,8167 is 7097123.
The greatest common factor of 3316/869,1674/8167 = [GCF of 3316,1674]/[LCM of 869,8167]= 2/7097123
Therefore, the GCF of 3316/869,1674/8167 is 2/7097123.
To find the highest common factor of 3316,1674, we have to find the factors of both numbers and list the highest common factor.
The factors of 3316 are 1, 2, 4, 829, 1658, 3316
The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The HCF of 3316,1674 is 2.
Lets's calculate GCF of 3316,1674
| 2 | 3316, 1674 |
| 1658, 837 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3316,1674 By Matching Biggest Common Factor Method
Now, list down the factors of 3316
:1,2,4,829,1658,3316
Now, list down the factors of 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Greatest Common Factor
We found the factors 3316,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 3316,1674 is 2.
Lets's calculate LCM of 869,8167
Given numbers has no common factors except 1. So, there LCM is their product i.e 7097123
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7097123
Therefore, the GCF of Fractions 3316/869,1674/8167 is 2/7097123
Least Common Multiple of 869,8167 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 869,8167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,8167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,8167) x common factors =1 x 1 = 1
LCM(869,8167) = ( 869 × 8167 ) / 1
LCM(869,8167) = 7097123 / 1
LCM(869,8167) = 7097123
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FAQs on GCF of Fractions of 3316/869, 1674/8167
1. What is the HCF of 3316,1674?
The HCF of 3316,1674 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 3316/869, 1674/8167?
Answer: GCF of Numerators as per given numbers 3316/869, 1674/8167 is
GCF of Numerators i.e. for 3316,1674 is 2
LCM of denominators i.e. for 869,8167 is 7097123.
Thus, GCF of Fractions is 2/7097123.Finally, GCF of Fractions for 3316/869, 1674/8167 is 2/7097123.