GCF of 2191/558, 6118/7583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2191/558, 6118/7583 i.e 7/4231314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2191/558, 6118/7583.
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 2191/558,6118/7583?
Given fractions are 2191/558,6118/7583
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 2191/558,6118/7583, numerators are 2191,6118
Denominators are 558,7583
The GCF of 2191,6118 is 7 .
LCM of 558,7583 is 4231314.
The greatest common factor of 2191/558,6118/7583 = [GCF of 2191,6118]/[LCM of 558,7583]= 7/4231314
Therefore, the GCF of 2191/558,6118/7583 is 7/4231314.
To find the highest common factor of 2191,6118, we have to find the factors of both numbers and list the highest common factor.
The factors of 2191 are 1, 7, 313, 2191
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The HCF of 2191,6118 is 7.
Lets's calculate GCF of 2191,6118
| 7 | 2191, 6118 |
| 313, 874 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2191,6118 By Matching Biggest Common Factor Method
Now, list down the factors of 2191
:1,7,313,2191
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Greatest Common Factor
We found the factors 2191,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 2191,6118 is 7.
Lets's calculate LCM of 558,7583
Given numbers has no common factors except 1. So, there LCM is their product i.e 4231314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4231314
Therefore, the GCF of Fractions 2191/558,6118/7583 is 7/4231314
Least Common Multiple of 558,7583 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 558,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,7583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,7583) x common factors =1 x 1 = 1
LCM(558,7583) = ( 558 × 7583 ) / 1
LCM(558,7583) = 4231314 / 1
LCM(558,7583) = 4231314
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FAQs on GCF of Fractions of 2191/558, 6118/7583
1. What is the HCF of 2191,6118?
The HCF of 2191,6118 is 7
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 2191/558, 6118/7583?
Answer: GCF of Numerators as per given numbers 2191/558, 6118/7583 is
GCF of Numerators i.e. for 2191,6118 is 7
LCM of denominators i.e. for 558,7583 is 4231314.
Thus, GCF of Fractions is 7/4231314.Finally, GCF of Fractions for 2191/558, 6118/7583 is 7/4231314.