GCF of 5803/910, 3996/7967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5803/910, 3996/7967 i.e 1/7249970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5803/910, 3996/7967.
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 5803/910,3996/7967?
Given fractions are 5803/910,3996/7967
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 5803/910,3996/7967, numerators are 5803,3996
Denominators are 910,7967
The GCF of 5803,3996 is 1 .
LCM of 910,7967 is 7249970.
The greatest common factor of 5803/910,3996/7967 = [GCF of 5803,3996]/[LCM of 910,7967]= 1/7249970
Therefore, the GCF of 5803/910,3996/7967 is 1/7249970.
To find the highest common factor of 5803,3996, we have to find the factors of both numbers and list the highest common factor.
The factors of 5803 are 1, 7, 829, 5803
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996
The HCF of 5803,3996 is 1.
Lets's calculate GCF of 5803,3996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5803,3996 By Matching Biggest Common Factor Method
Now, list down the factors of 5803
:1,7,829,5803
Now, list down the factors of 3996
:1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Greatest Common Factor
We found the factors 5803,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 5803,3996 is 1.
Lets's calculate LCM of 910,7967
Given numbers has no common factors except 1. So, there LCM is their product i.e 7249970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7249970
Therefore, the GCF of Fractions 5803/910,3996/7967 is 1/7249970
Least Common Multiple of 910,7967 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 910,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,7967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,7967) x common factors =1 x 1 = 1
LCM(910,7967) = ( 910 × 7967 ) / 1
LCM(910,7967) = 7249970 / 1
LCM(910,7967) = 7249970
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FAQs on GCF of Fractions of 5803/910, 3996/7967
1. What is the HCF of 5803,3996?
The HCF of 5803,3996 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 5803/910, 3996/7967?
Answer: GCF of Numerators as per given numbers 5803/910, 3996/7967 is
GCF of Numerators i.e. for 5803,3996 is 1
LCM of denominators i.e. for 910,7967 is 7249970.
Thus, GCF of Fractions is 1/7249970.Finally, GCF of Fractions for 5803/910, 3996/7967 is 1/7249970.