GCF of 6055/157, 8982/9914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6055/157, 8982/9914 i.e 1/1556498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6055/157, 8982/9914.
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 6055/157,8982/9914?
Given fractions are 6055/157,8982/9914
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 6055/157,8982/9914, numerators are 6055,8982
Denominators are 157,9914
The GCF of 6055,8982 is 1 .
LCM of 157,9914 is 1556498.
The greatest common factor of 6055/157,8982/9914 = [GCF of 6055,8982]/[LCM of 157,9914]= 1/1556498
Therefore, the GCF of 6055/157,8982/9914 is 1/1556498.
To find the highest common factor of 6055,8982, we have to find the factors of both numbers and list the highest common factor.
The factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055
The factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982
The HCF of 6055,8982 is 1.
Lets's calculate GCF of 6055,8982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6055,8982 By Matching Biggest Common Factor Method
Now, list down the factors of 6055
:1,5,7,35,173,865,1211,6055
Now, list down the factors of 8982
:1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 6055,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 6055,8982 is 1.
Lets's calculate LCM of 157,9914
Given numbers has no common factors except 1. So, there LCM is their product i.e 1556498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1556498
Therefore, the GCF of Fractions 6055/157,8982/9914 is 1/1556498
Least Common Multiple of 157,9914 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 157,9914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,9914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,9914) x common factors =1 x 1 = 1
LCM(157,9914) = ( 157 × 9914 ) / 1
LCM(157,9914) = 1556498 / 1
LCM(157,9914) = 1556498
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FAQs on GCF of Fractions of 6055/157, 8982/9914
1. What is the HCF of 6055,8982?
The HCF of 6055,8982 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 6055/157, 8982/9914?
Answer: GCF of Numerators as per given numbers 6055/157, 8982/9914 is
GCF of Numerators i.e. for 6055,8982 is 1
LCM of denominators i.e. for 157,9914 is 1556498.
Thus, GCF of Fractions is 1/1556498.Finally, GCF of Fractions for 6055/157, 8982/9914 is 1/1556498.