GCF of 7091/353, 7147/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7091/353, 7147/554 i.e 7/195562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7091/353, 7147/554.
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 7091/353,7147/554?
Given fractions are 7091/353,7147/554
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 7091/353,7147/554, numerators are 7091,7147
Denominators are 353,554
The GCF of 7091,7147 is 7 .
LCM of 353,554 is 195562.
The greatest common factor of 7091/353,7147/554 = [GCF of 7091,7147]/[LCM of 353,554]= 7/195562
Therefore, the GCF of 7091/353,7147/554 is 7/195562.
To find the highest common factor of 7091,7147, we have to find the factors of both numbers and list the highest common factor.
The factors of 7091 are 1, 7, 1013, 7091
The factors of 7147 are 1, 7, 1021, 7147
The HCF of 7091,7147 is 7.
Lets's calculate GCF of 7091,7147
| 7 | 7091, 7147 |
| 1013, 1021 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7091,7147 By Matching Biggest Common Factor Method
Now, list down the factors of 7091
:1,7,1013,7091
Now, list down the factors of 7147
:1,7,1021,7147
Greatest Common Factor
We found the factors 7091,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 7091,7147 is 7.
Lets's calculate LCM of 353,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 195562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/195562
Therefore, the GCF of Fractions 7091/353,7147/554 is 7/195562
Least Common Multiple of 353,554 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 353,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,554) x common factors =1 x 1 = 1
LCM(353,554) = ( 353 × 554 ) / 1
LCM(353,554) = 195562 / 1
LCM(353,554) = 195562
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FAQs on GCF of Fractions of 7091/353, 7147/554
1. What is the HCF of 7091,7147?
The HCF of 7091,7147 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 7091/353, 7147/554?
Answer: GCF of Numerators as per given numbers 7091/353, 7147/554 is
GCF of Numerators i.e. for 7091,7147 is 7
LCM of denominators i.e. for 353,554 is 195562.
Thus, GCF of Fractions is 7/195562.Finally, GCF of Fractions for 7091/353, 7147/554 is 7/195562.