GCF of 5907/842, 3850/1919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5907/842, 3850/1919 i.e 11/1615798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5907/842, 3850/1919.
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 5907/842,3850/1919?
Given fractions are 5907/842,3850/1919
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 5907/842,3850/1919, numerators are 5907,3850
Denominators are 842,1919
The GCF of 5907,3850 is 11 .
LCM of 842,1919 is 1615798.
The greatest common factor of 5907/842,3850/1919 = [GCF of 5907,3850]/[LCM of 842,1919]= 11/1615798
Therefore, the GCF of 5907/842,3850/1919 is 11/1615798.
To find the highest common factor of 5907,3850, we have to find the factors of both numbers and list the highest common factor.
The factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907
The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850
The HCF of 5907,3850 is 11.
Lets's calculate GCF of 5907,3850
| 11 | 5907, 3850 |
| 537, 350 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5907,3850 By Matching Biggest Common Factor Method
Now, list down the factors of 5907
:1,3,11,33,179,537,1969,5907
Now, list down the factors of 3850
:1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850
Greatest Common Factor
We found the factors 5907,3850 . The biggest common factor number is the GCF number.
So the greatest common factor 5907,3850 is 11.
Lets's calculate LCM of 842,1919
Given numbers has no common factors except 1. So, there LCM is their product i.e 1615798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1615798
Therefore, the GCF of Fractions 5907/842,3850/1919 is 11/1615798
Least Common Multiple of 842,1919 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 842,1919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,1919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,1919) x common factors =1 x 1 = 1
LCM(842,1919) = ( 842 × 1919 ) / 1
LCM(842,1919) = 1615798 / 1
LCM(842,1919) = 1615798
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FAQs on GCF of Fractions of 5907/842, 3850/1919
1. What is the HCF of 5907,3850?
The HCF of 5907,3850 is 11
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 5907/842, 3850/1919?
Answer: GCF of Numerators as per given numbers 5907/842, 3850/1919 is
GCF of Numerators i.e. for 5907,3850 is 11
LCM of denominators i.e. for 842,1919 is 1615798.
Thus, GCF of Fractions is 11/1615798.Finally, GCF of Fractions for 5907/842, 3850/1919 is 11/1615798.