GCF of 3778/176, 3870/9663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3778/176, 3870/9663 i.e 2/1700688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3778/176, 3870/9663.
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 3778/176,3870/9663?
Given fractions are 3778/176,3870/9663
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 3778/176,3870/9663, numerators are 3778,3870
Denominators are 176,9663
The GCF of 3778,3870 is 2 .
LCM of 176,9663 is 1700688.
The greatest common factor of 3778/176,3870/9663 = [GCF of 3778,3870]/[LCM of 176,9663]= 2/1700688
Therefore, the GCF of 3778/176,3870/9663 is 2/1700688.
To find the highest common factor of 3778,3870, 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 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 3778,3870 is 2.
Lets's calculate GCF of 3778,3870
| 2 | 3778, 3870 |
| 1889, 1935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3778,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 3778
:1,2,1889,3778
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 3778,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 3778,3870 is 2.
Lets's calculate LCM of 176,9663
Given numbers has no common factors except 1. So, there LCM is their product i.e 1700688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1700688
Therefore, the GCF of Fractions 3778/176,3870/9663 is 2/1700688
Least Common Multiple of 176,9663 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 176,9663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,9663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,9663) x common factors =1 x 1 = 1
LCM(176,9663) = ( 176 × 9663 ) / 1
LCM(176,9663) = 1700688 / 1
LCM(176,9663) = 1700688
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FAQs on GCF of Fractions of 3778/176, 3870/9663
1. What is the HCF of 3778,3870?
The HCF of 3778,3870 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 3778/176, 3870/9663?
Answer: GCF of Numerators as per given numbers 3778/176, 3870/9663 is
GCF of Numerators i.e. for 3778,3870 is 2
LCM of denominators i.e. for 176,9663 is 1700688.
Thus, GCF of Fractions is 2/1700688.Finally, GCF of Fractions for 3778/176, 3870/9663 is 2/1700688.