GCF of 6432/969, 4211/7484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6432/969, 4211/7484 i.e 1/7251996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6432/969, 4211/7484.
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 6432/969,4211/7484?
Given fractions are 6432/969,4211/7484
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 6432/969,4211/7484, numerators are 6432,4211
Denominators are 969,7484
The GCF of 6432,4211 is 1 .
LCM of 969,7484 is 7251996.
The greatest common factor of 6432/969,4211/7484 = [GCF of 6432,4211]/[LCM of 969,7484]= 1/7251996
Therefore, the GCF of 6432/969,4211/7484 is 1/7251996.
To find the highest common factor of 6432,4211, we have to find the factors of both numbers and list the highest common factor.
The factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432
The factors of 4211 are 1, 4211
The HCF of 6432,4211 is 1.
Lets's calculate GCF of 6432,4211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6432,4211 By Matching Biggest Common Factor Method
Now, list down the factors of 6432
:1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Now, list down the factors of 4211
:1,4211
Greatest Common Factor
We found the factors 6432,4211 . The biggest common factor number is the GCF number.
So the greatest common factor 6432,4211 is 1.
Lets's calculate LCM of 969,7484
Given numbers has no common factors except 1. So, there LCM is their product i.e 7251996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7251996
Therefore, the GCF of Fractions 6432/969,4211/7484 is 1/7251996
Least Common Multiple of 969,7484 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 969,7484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,7484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,7484) x common factors =1 x 1 = 1
LCM(969,7484) = ( 969 × 7484 ) / 1
LCM(969,7484) = 7251996 / 1
LCM(969,7484) = 7251996
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FAQs on GCF of Fractions of 6432/969, 4211/7484
1. What is the HCF of 6432,4211?
The HCF of 6432,4211 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 6432/969, 4211/7484?
Answer: GCF of Numerators as per given numbers 6432/969, 4211/7484 is
GCF of Numerators i.e. for 6432,4211 is 1
LCM of denominators i.e. for 969,7484 is 7251996.
Thus, GCF of Fractions is 1/7251996.Finally, GCF of Fractions for 6432/969, 4211/7484 is 1/7251996.