GCF of 3778/893, 1876/6880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3778/893, 1876/6880 i.e 2/6143840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3778/893, 1876/6880.
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 3778/893,1876/6880?
Given fractions are 3778/893,1876/6880
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 3778/893,1876/6880, numerators are 3778,1876
Denominators are 893,6880
The GCF of 3778,1876 is 2 .
LCM of 893,6880 is 6143840.
The greatest common factor of 3778/893,1876/6880 = [GCF of 3778,1876]/[LCM of 893,6880]= 2/6143840
Therefore, the GCF of 3778/893,1876/6880 is 2/6143840.
To find the highest common factor of 3778,1876, we have to find the factors of both numbers and list the highest common factor.
The factors of 3778 are 1, 2, 1889, 3778
The factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876
The HCF of 3778,1876 is 2.
Lets's calculate GCF of 3778,1876
| 2 | 3778, 1876 |
| 1889, 938 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3778,1876 By Matching Biggest Common Factor Method
Now, list down the factors of 3778
:1,2,1889,3778
Now, list down the factors of 1876
:1,2,4,7,14,28,67,134,268,469,938,1876
Greatest Common Factor
We found the factors 3778,1876 . The biggest common factor number is the GCF number.
So the greatest common factor 3778,1876 is 2.
Lets's calculate LCM of 893,6880
Given numbers has no common factors except 1. So, there LCM is their product i.e 6143840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6143840
Therefore, the GCF of Fractions 3778/893,1876/6880 is 2/6143840
Least Common Multiple of 893,6880 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 893,6880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,6880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,6880) x common factors =1 x 1 = 1
LCM(893,6880) = ( 893 × 6880 ) / 1
LCM(893,6880) = 6143840 / 1
LCM(893,6880) = 6143840
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FAQs on GCF of Fractions of 3778/893, 1876/6880
1. What is the HCF of 3778,1876?
The HCF of 3778,1876 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 3778/893, 1876/6880?
Answer: GCF of Numerators as per given numbers 3778/893, 1876/6880 is
GCF of Numerators i.e. for 3778,1876 is 2
LCM of denominators i.e. for 893,6880 is 6143840.
Thus, GCF of Fractions is 2/6143840.Finally, GCF of Fractions for 3778/893, 1876/6880 is 2/6143840.