GCF of 7141/867, 3268/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7141/867, 3268/689 i.e 1/597363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7141/867, 3268/689.
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 7141/867,3268/689?
Given fractions are 7141/867,3268/689
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 7141/867,3268/689, numerators are 7141,3268
Denominators are 867,689
The GCF of 7141,3268 is 1 .
LCM of 867,689 is 597363.
The greatest common factor of 7141/867,3268/689 = [GCF of 7141,3268]/[LCM of 867,689]= 1/597363
Therefore, the GCF of 7141/867,3268/689 is 1/597363.
To find the highest common factor of 7141,3268, we have to find the factors of both numbers and list the highest common factor.
The factors of 7141 are 1, 37, 193, 7141
The factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268
The HCF of 7141,3268 is 1.
Lets's calculate GCF of 7141,3268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7141,3268 By Matching Biggest Common Factor Method
Now, list down the factors of 7141
:1,37,193,7141
Now, list down the factors of 3268
:1,2,4,19,38,43,76,86,172,817,1634,3268
Greatest Common Factor
We found the factors 7141,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 7141,3268 is 1.
Lets's calculate LCM of 867,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 597363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597363
Therefore, the GCF of Fractions 7141/867,3268/689 is 1/597363
Least Common Multiple of 867,689 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 867,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,689) x common factors =1 x 1 = 1
LCM(867,689) = ( 867 × 689 ) / 1
LCM(867,689) = 597363 / 1
LCM(867,689) = 597363
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FAQs on GCF of Fractions of 7141/867, 3268/689
1. What is the HCF of 7141,3268?
The HCF of 7141,3268 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 7141/867, 3268/689?
Answer: GCF of Numerators as per given numbers 7141/867, 3268/689 is
GCF of Numerators i.e. for 7141,3268 is 1
LCM of denominators i.e. for 867,689 is 597363.
Thus, GCF of Fractions is 1/597363.Finally, GCF of Fractions for 7141/867, 3268/689 is 1/597363.