GCF of 4147/125, 1358/776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4147/125, 1358/776 i.e 1/97000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4147/125, 1358/776.
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 4147/125,1358/776?
Given fractions are 4147/125,1358/776
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 4147/125,1358/776, numerators are 4147,1358
Denominators are 125,776
The GCF of 4147,1358 is 1 .
LCM of 125,776 is 97000.
The greatest common factor of 4147/125,1358/776 = [GCF of 4147,1358]/[LCM of 125,776]= 1/97000
Therefore, the GCF of 4147/125,1358/776 is 1/97000.
To find the highest common factor of 4147,1358, we have to find the factors of both numbers and list the highest common factor.
The factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147
The factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358
The HCF of 4147,1358 is 1.
Lets's calculate GCF of 4147,1358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4147,1358 By Matching Biggest Common Factor Method
Now, list down the factors of 4147
:1,11,13,29,143,319,377,4147
Now, list down the factors of 1358
:1,2,7,14,97,194,679,1358
Greatest Common Factor
We found the factors 4147,1358 . The biggest common factor number is the GCF number.
So the greatest common factor 4147,1358 is 1.
Lets's calculate LCM of 125,776
Given numbers has no common factors except 1. So, there LCM is their product i.e 97000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97000
Therefore, the GCF of Fractions 4147/125,1358/776 is 1/97000
Least Common Multiple of 125,776 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 125,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,776) x common factors =1 x 1 = 1
LCM(125,776) = ( 125 × 776 ) / 1
LCM(125,776) = 97000 / 1
LCM(125,776) = 97000
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FAQs on GCF of Fractions of 4147/125, 1358/776
1. What is the HCF of 4147,1358?
The HCF of 4147,1358 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 4147/125, 1358/776?
Answer: GCF of Numerators as per given numbers 4147/125, 1358/776 is
GCF of Numerators i.e. for 4147,1358 is 1
LCM of denominators i.e. for 125,776 is 97000.
Thus, GCF of Fractions is 1/97000.Finally, GCF of Fractions for 4147/125, 1358/776 is 1/97000.