GCF of 8378/872, 3606/3458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8378/872, 3606/3458 i.e 2/1507688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8378/872, 3606/3458.
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 8378/872,3606/3458?
Given fractions are 8378/872,3606/3458
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 8378/872,3606/3458, numerators are 8378,3606
Denominators are 872,3458
The GCF of 8378,3606 is 2 .
LCM of 872,3458 is 1507688.
The greatest common factor of 8378/872,3606/3458 = [GCF of 8378,3606]/[LCM of 872,3458]= 2/1507688
Therefore, the GCF of 8378/872,3606/3458 is 2/1507688.
To find the highest common factor of 8378,3606, we have to find the factors of both numbers and list the highest common factor.
The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The HCF of 8378,3606 is 2.
Lets's calculate GCF of 8378,3606
| 2 | 8378, 3606 |
| 4189, 1803 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8378,3606 By Matching Biggest Common Factor Method
Now, list down the factors of 8378
:1,2,59,71,118,142,4189,8378
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Greatest Common Factor
We found the factors 8378,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 8378,3606 is 2.
Lets's calculate LCM of 872,3458
| 2 | 872, 3458 |
| 436, 1729 |
∴ So the LCM of the given numbers is 2 x 436 x 1729 = 1507688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1507688
Therefore, the GCF of Fractions 8378/872,3606/3458 is 2/1507688
Least Common Multiple of 872,3458 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 872,3458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,3458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,3458) x common factors =2 x 1 = 2
LCM(872,3458) = ( 872 × 3458 ) / 2
LCM(872,3458) = 3015376 / 2
LCM(872,3458) = 1507688
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FAQs on GCF of Fractions of 8378/872, 3606/3458
1. What is the HCF of 8378,3606?
The HCF of 8378,3606 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 8378/872, 3606/3458?
Answer: GCF of Numerators as per given numbers 8378/872, 3606/3458 is
GCF of Numerators i.e. for 8378,3606 is 2
LCM of denominators i.e. for 872,3458 is 1507688.
Thus, GCF of Fractions is 2/1507688.Finally, GCF of Fractions for 8378/872, 3606/3458 is 2/1507688.