GCF of 6991/432, 6844/4313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6991/432, 6844/4313 i.e 1/1863216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6991/432, 6844/4313.
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 6991/432,6844/4313?
Given fractions are 6991/432,6844/4313
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 6991/432,6844/4313, numerators are 6991,6844
Denominators are 432,4313
The GCF of 6991,6844 is 1 .
LCM of 432,4313 is 1863216.
The greatest common factor of 6991/432,6844/4313 = [GCF of 6991,6844]/[LCM of 432,4313]= 1/1863216
Therefore, the GCF of 6991/432,6844/4313 is 1/1863216.
To find the highest common factor of 6991,6844, we have to find the factors of both numbers and list the highest common factor.
The factors of 6991 are 1, 6991
The factors of 6844 are 1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844
The HCF of 6991,6844 is 1.
Lets's calculate GCF of 6991,6844
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6991,6844 By Matching Biggest Common Factor Method
Now, list down the factors of 6991
:1,6991
Now, list down the factors of 6844
:1,2,4,29,58,59,116,118,236,1711,3422,6844
Greatest Common Factor
We found the factors 6991,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 6991,6844 is 1.
Lets's calculate LCM of 432,4313
Given numbers has no common factors except 1. So, there LCM is their product i.e 1863216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1863216
Therefore, the GCF of Fractions 6991/432,6844/4313 is 1/1863216
Least Common Multiple of 432,4313 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 432,4313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,4313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,4313) x common factors =1 x 1 = 1
LCM(432,4313) = ( 432 × 4313 ) / 1
LCM(432,4313) = 1863216 / 1
LCM(432,4313) = 1863216
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FAQs on GCF of Fractions of 6991/432, 6844/4313
1. What is the HCF of 6991,6844?
The HCF of 6991,6844 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 6991/432, 6844/4313?
Answer: GCF of Numerators as per given numbers 6991/432, 6844/4313 is
GCF of Numerators i.e. for 6991,6844 is 1
LCM of denominators i.e. for 432,4313 is 1863216.
Thus, GCF of Fractions is 1/1863216.Finally, GCF of Fractions for 6991/432, 6844/4313 is 1/1863216.