GCF of 1949/351, 4712/9640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1949/351, 4712/9640 i.e 1/3383640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1949/351, 4712/9640.
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 1949/351,4712/9640?
Given fractions are 1949/351,4712/9640
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 1949/351,4712/9640, numerators are 1949,4712
Denominators are 351,9640
The GCF of 1949,4712 is 1 .
LCM of 351,9640 is 3383640.
The greatest common factor of 1949/351,4712/9640 = [GCF of 1949,4712]/[LCM of 351,9640]= 1/3383640
Therefore, the GCF of 1949/351,4712/9640 is 1/3383640.
To find the highest common factor of 1949,4712, we have to find the factors of both numbers and list the highest common factor.
The factors of 1949 are 1, 1949
The factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
The HCF of 1949,4712 is 1.
Lets's calculate GCF of 1949,4712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1949,4712 By Matching Biggest Common Factor Method
Now, list down the factors of 1949
:1,1949
Now, list down the factors of 4712
:1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Greatest Common Factor
We found the factors 1949,4712 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,4712 is 1.
Lets's calculate LCM of 351,9640
Given numbers has no common factors except 1. So, there LCM is their product i.e 3383640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3383640
Therefore, the GCF of Fractions 1949/351,4712/9640 is 1/3383640
Least Common Multiple of 351,9640 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 351,9640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,9640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,9640) x common factors =1 x 1 = 1
LCM(351,9640) = ( 351 × 9640 ) / 1
LCM(351,9640) = 3383640 / 1
LCM(351,9640) = 3383640
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FAQs on GCF of Fractions of 1949/351, 4712/9640
1. What is the HCF of 1949,4712?
The HCF of 1949,4712 is 1
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 1949/351, 4712/9640?
Answer: GCF of Numerators as per given numbers 1949/351, 4712/9640 is
GCF of Numerators i.e. for 1949,4712 is 1
LCM of denominators i.e. for 351,9640 is 3383640.
Thus, GCF of Fractions is 1/3383640.Finally, GCF of Fractions for 1949/351, 4712/9640 is 1/3383640.