GCF of 3618/802, 3014/4688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3618/802, 3014/4688 i.e 2/1879888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3618/802, 3014/4688.
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 3618/802,3014/4688?
Given fractions are 3618/802,3014/4688
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 3618/802,3014/4688, numerators are 3618,3014
Denominators are 802,4688
The GCF of 3618,3014 is 2 .
LCM of 802,4688 is 1879888.
The greatest common factor of 3618/802,3014/4688 = [GCF of 3618,3014]/[LCM of 802,4688]= 2/1879888
Therefore, the GCF of 3618/802,3014/4688 is 2/1879888.
To find the highest common factor of 3618,3014, we have to find the factors of both numbers and list the highest common factor.
The factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618
The factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014
The HCF of 3618,3014 is 2.
Lets's calculate GCF of 3618,3014
| 2 | 3618, 3014 |
| 1809, 1507 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3618,3014 By Matching Biggest Common Factor Method
Now, list down the factors of 3618
:1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618
Now, list down the factors of 3014
:1,2,11,22,137,274,1507,3014
Greatest Common Factor
We found the factors 3618,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 3618,3014 is 2.
Lets's calculate LCM of 802,4688
| 2 | 802, 4688 |
| 401, 2344 |
∴ So the LCM of the given numbers is 2 x 401 x 2344 = 1879888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1879888
Therefore, the GCF of Fractions 3618/802,3014/4688 is 2/1879888
Least Common Multiple of 802,4688 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 802,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4688) x common factors =2 x 1 = 2
LCM(802,4688) = ( 802 × 4688 ) / 2
LCM(802,4688) = 3759776 / 2
LCM(802,4688) = 1879888
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FAQs on GCF of Fractions of 3618/802, 3014/4688
1. What is the HCF of 3618,3014?
The HCF of 3618,3014 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 3618/802, 3014/4688?
Answer: GCF of Numerators as per given numbers 3618/802, 3014/4688 is
GCF of Numerators i.e. for 3618,3014 is 2
LCM of denominators i.e. for 802,4688 is 1879888.
Thus, GCF of Fractions is 2/1879888.Finally, GCF of Fractions for 3618/802, 3014/4688 is 2/1879888.