GCF of 3070/187, 4499/641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3070/187, 4499/641 i.e 1/119867 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3070/187, 4499/641.
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 3070/187,4499/641?
Given fractions are 3070/187,4499/641
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 3070/187,4499/641, numerators are 3070,4499
Denominators are 187,641
The GCF of 3070,4499 is 1 .
LCM of 187,641 is 119867.
The greatest common factor of 3070/187,4499/641 = [GCF of 3070,4499]/[LCM of 187,641]= 1/119867
Therefore, the GCF of 3070/187,4499/641 is 1/119867.
To find the highest common factor of 3070,4499, we have to find the factors of both numbers and list the highest common factor.
The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070
The factors of 4499 are 1, 11, 409, 4499
The HCF of 3070,4499 is 1.
Lets's calculate GCF of 3070,4499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3070,4499 By Matching Biggest Common Factor Method
Now, list down the factors of 3070
:1,2,5,10,307,614,1535,3070
Now, list down the factors of 4499
:1,11,409,4499
Greatest Common Factor
We found the factors 3070,4499 . The biggest common factor number is the GCF number.
So the greatest common factor 3070,4499 is 1.
Lets's calculate LCM of 187,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 119867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119867
Therefore, the GCF of Fractions 3070/187,4499/641 is 1/119867
Least Common Multiple of 187,641 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 187,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,641) x common factors =1 x 1 = 1
LCM(187,641) = ( 187 × 641 ) / 1
LCM(187,641) = 119867 / 1
LCM(187,641) = 119867
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FAQs on GCF of Fractions of 3070/187, 4499/641
1. What is the HCF of 3070,4499?
The HCF of 3070,4499 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 3070/187, 4499/641?
Answer: GCF of Numerators as per given numbers 3070/187, 4499/641 is
GCF of Numerators i.e. for 3070,4499 is 1
LCM of denominators i.e. for 187,641 is 119867.
Thus, GCF of Fractions is 1/119867.Finally, GCF of Fractions for 3070/187, 4499/641 is 1/119867.