GCF of 3835/942, 8619/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3835/942, 8619/783 i.e 13/245862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3835/942, 8619/783.
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 3835/942,8619/783?
Given fractions are 3835/942,8619/783
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 3835/942,8619/783, numerators are 3835,8619
Denominators are 942,783
The GCF of 3835,8619 is 13 .
LCM of 942,783 is 245862.
The greatest common factor of 3835/942,8619/783 = [GCF of 3835,8619]/[LCM of 942,783]= 13/245862
Therefore, the GCF of 3835/942,8619/783 is 13/245862.
To find the highest common factor of 3835,8619, we have to find the factors of both numbers and list the highest common factor.
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
The HCF of 3835,8619 is 13.
Lets's calculate GCF of 3835,8619
| 13 | 3835, 8619 |
| 295, 663 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3835,8619 By Matching Biggest Common Factor Method
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Now, list down the factors of 8619
:1,3,13,17,39,51,169,221,507,663,2873,8619
Greatest Common Factor
We found the factors 3835,8619 . The biggest common factor number is the GCF number.
So the greatest common factor 3835,8619 is 13.
Lets's calculate LCM of 942,783
| 3 | 942, 783 |
| 314, 261 |
∴ So the LCM of the given numbers is 3 x 314 x 261 = 245862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/245862
Therefore, the GCF of Fractions 3835/942,8619/783 is 13/245862
Least Common Multiple of 942,783 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 942,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,783) x common factors =3 x 1 = 3
LCM(942,783) = ( 942 × 783 ) / 3
LCM(942,783) = 737586 / 3
LCM(942,783) = 245862
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FAQs on GCF of Fractions of 3835/942, 8619/783
1. What is the HCF of 3835,8619?
The HCF of 3835,8619 is 13
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 3835/942, 8619/783?
Answer: GCF of Numerators as per given numbers 3835/942, 8619/783 is
GCF of Numerators i.e. for 3835,8619 is 13
LCM of denominators i.e. for 942,783 is 245862.
Thus, GCF of Fractions is 13/245862.Finally, GCF of Fractions for 3835/942, 8619/783 is 13/245862.