GCF of 1091/591, 7324/5485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1091/591, 7324/5485 i.e 1/3241635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1091/591, 7324/5485.
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 1091/591,7324/5485?
Given fractions are 1091/591,7324/5485
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 1091/591,7324/5485, numerators are 1091,7324
Denominators are 591,5485
The GCF of 1091,7324 is 1 .
LCM of 591,5485 is 3241635.
The greatest common factor of 1091/591,7324/5485 = [GCF of 1091,7324]/[LCM of 591,5485]= 1/3241635
Therefore, the GCF of 1091/591,7324/5485 is 1/3241635.
To find the highest common factor of 1091,7324, we have to find the factors of both numbers and list the highest common factor.
The factors of 1091 are 1, 1091
The factors of 7324 are 1, 2, 4, 1831, 3662, 7324
The HCF of 1091,7324 is 1.
Lets's calculate GCF of 1091,7324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1091,7324 By Matching Biggest Common Factor Method
Now, list down the factors of 1091
:1,1091
Now, list down the factors of 7324
:1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 1091,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 1091,7324 is 1.
Lets's calculate LCM of 591,5485
Given numbers has no common factors except 1. So, there LCM is their product i.e 3241635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3241635
Therefore, the GCF of Fractions 1091/591,7324/5485 is 1/3241635
Least Common Multiple of 591,5485 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 591,5485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,5485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,5485) x common factors =1 x 1 = 1
LCM(591,5485) = ( 591 × 5485 ) / 1
LCM(591,5485) = 3241635 / 1
LCM(591,5485) = 3241635
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FAQs on GCF of Fractions of 1091/591, 7324/5485
1. What is the HCF of 1091,7324?
The HCF of 1091,7324 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 1091/591, 7324/5485?
Answer: GCF of Numerators as per given numbers 1091/591, 7324/5485 is
GCF of Numerators i.e. for 1091,7324 is 1
LCM of denominators i.e. for 591,5485 is 3241635.
Thus, GCF of Fractions is 1/3241635.Finally, GCF of Fractions for 1091/591, 7324/5485 is 1/3241635.