GCF of 3551/807, 5005/425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3551/807, 5005/425 i.e 1/342975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3551/807, 5005/425.
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 3551/807,5005/425?
Given fractions are 3551/807,5005/425
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 3551/807,5005/425, numerators are 3551,5005
Denominators are 807,425
The GCF of 3551,5005 is 1 .
LCM of 807,425 is 342975.
The greatest common factor of 3551/807,5005/425 = [GCF of 3551,5005]/[LCM of 807,425]= 1/342975
Therefore, the GCF of 3551/807,5005/425 is 1/342975.
To find the highest common factor of 3551,5005, we have to find the factors of both numbers and list the highest common factor.
The factors of 3551 are 1, 53, 67, 3551
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
The HCF of 3551,5005 is 1.
Lets's calculate GCF of 3551,5005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3551,5005 By Matching Biggest Common Factor Method
Now, list down the factors of 3551
:1,53,67,3551
Now, list down the factors of 5005
:1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors 3551,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 3551,5005 is 1.
Lets's calculate LCM of 807,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 342975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342975
Therefore, the GCF of Fractions 3551/807,5005/425 is 1/342975
Least Common Multiple of 807,425 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 807,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,425) x common factors =1 x 1 = 1
LCM(807,425) = ( 807 × 425 ) / 1
LCM(807,425) = 342975 / 1
LCM(807,425) = 342975
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FAQs on GCF of Fractions of 3551/807, 5005/425
1. What is the HCF of 3551,5005?
The HCF of 3551,5005 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 3551/807, 5005/425?
Answer: GCF of Numerators as per given numbers 3551/807, 5005/425 is
GCF of Numerators i.e. for 3551,5005 is 1
LCM of denominators i.e. for 807,425 is 342975.
Thus, GCF of Fractions is 1/342975.Finally, GCF of Fractions for 3551/807, 5005/425 is 1/342975.