GCF of 1075/974, 8838/1963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1075/974, 8838/1963 i.e 1/1911962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1075/974, 8838/1963.
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 1075/974,8838/1963?
Given fractions are 1075/974,8838/1963
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 1075/974,8838/1963, numerators are 1075,8838
Denominators are 974,1963
The GCF of 1075,8838 is 1 .
LCM of 974,1963 is 1911962.
The greatest common factor of 1075/974,8838/1963 = [GCF of 1075,8838]/[LCM of 974,1963]= 1/1911962
Therefore, the GCF of 1075/974,8838/1963 is 1/1911962.
To find the highest common factor of 1075,8838, we have to find the factors of both numbers and list the highest common factor.
The factors of 1075 are 1, 5, 25, 43, 215, 1075
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The HCF of 1075,8838 is 1.
Lets's calculate GCF of 1075,8838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1075,8838 By Matching Biggest Common Factor Method
Now, list down the factors of 1075
:1,5,25,43,215,1075
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 1075,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 1075,8838 is 1.
Lets's calculate LCM of 974,1963
Given numbers has no common factors except 1. So, there LCM is their product i.e 1911962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1911962
Therefore, the GCF of Fractions 1075/974,8838/1963 is 1/1911962
Least Common Multiple of 974,1963 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 974,1963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,1963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,1963) x common factors =1 x 1 = 1
LCM(974,1963) = ( 974 × 1963 ) / 1
LCM(974,1963) = 1911962 / 1
LCM(974,1963) = 1911962
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FAQs on GCF of Fractions of 1075/974, 8838/1963
1. What is the HCF of 1075,8838?
The HCF of 1075,8838 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 1075/974, 8838/1963?
Answer: GCF of Numerators as per given numbers 1075/974, 8838/1963 is
GCF of Numerators i.e. for 1075,8838 is 1
LCM of denominators i.e. for 974,1963 is 1911962.
Thus, GCF of Fractions is 1/1911962.Finally, GCF of Fractions for 1075/974, 8838/1963 is 1/1911962.