GCF of 1123/997, 4138/6560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1123/997, 4138/6560 i.e 1/6540320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1123/997, 4138/6560.
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 1123/997,4138/6560?
Given fractions are 1123/997,4138/6560
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 1123/997,4138/6560, numerators are 1123,4138
Denominators are 997,6560
The GCF of 1123,4138 is 1 .
LCM of 997,6560 is 6540320.
The greatest common factor of 1123/997,4138/6560 = [GCF of 1123,4138]/[LCM of 997,6560]= 1/6540320
Therefore, the GCF of 1123/997,4138/6560 is 1/6540320.
To find the highest common factor of 1123,4138, we have to find the factors of both numbers and list the highest common factor.
The factors of 1123 are 1, 1123
The factors of 4138 are 1, 2, 2069, 4138
The HCF of 1123,4138 is 1.
Lets's calculate GCF of 1123,4138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1123,4138 By Matching Biggest Common Factor Method
Now, list down the factors of 1123
:1,1123
Now, list down the factors of 4138
:1,2,2069,4138
Greatest Common Factor
We found the factors 1123,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 1123,4138 is 1.
Lets's calculate LCM of 997,6560
Given numbers has no common factors except 1. So, there LCM is their product i.e 6540320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6540320
Therefore, the GCF of Fractions 1123/997,4138/6560 is 1/6540320
Least Common Multiple of 997,6560 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 997,6560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6560) x common factors =1 x 1 = 1
LCM(997,6560) = ( 997 × 6560 ) / 1
LCM(997,6560) = 6540320 / 1
LCM(997,6560) = 6540320
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FAQs on GCF of Fractions of 1123/997, 4138/6560
1. What is the HCF of 1123,4138?
The HCF of 1123,4138 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 1123/997, 4138/6560?
Answer: GCF of Numerators as per given numbers 1123/997, 4138/6560 is
GCF of Numerators i.e. for 1123,4138 is 1
LCM of denominators i.e. for 997,6560 is 6540320.
Thus, GCF of Fractions is 1/6540320.Finally, GCF of Fractions for 1123/997, 4138/6560 is 1/6540320.