GCF of 290/846, 679/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/846, 679/547 i.e 1/462762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/846, 679/547.
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 290/846,679/547?
Given fractions are 290/846,679/547
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 290/846,679/547, numerators are 290,679
Denominators are 846,547
The GCF of 290,679 is 1 .
LCM of 846,547 is 462762.
The greatest common factor of 290/846,679/547 = [GCF of 290,679]/[LCM of 846,547]= 1/462762
Therefore, the GCF of 290/846,679/547 is 1/462762.
To find the highest common factor of 290,679, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 679 are 1, 7, 97, 679
The HCF of 290,679 is 1.
Lets's calculate GCF of 290,679
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,679 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 679
:1,7,97,679
Greatest Common Factor
We found the factors 290,679 . The biggest common factor number is the GCF number.
So the greatest common factor 290,679 is 1.
Lets's calculate LCM of 846,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 462762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462762
Therefore, the GCF of Fractions 290/846,679/547 is 1/462762
Least Common Multiple of 846,547 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 846,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(846,547) x common factors =1 x 1 = 1
LCM(846,547) = ( 846 × 547 ) / 1
LCM(846,547) = 462762 / 1
LCM(846,547) = 462762
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FAQs on GCF of Fractions of 290/846, 679/547
1. What is the HCF of 290,679?
The HCF of 290,679 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 290/846, 679/547?
Answer: GCF of Numerators as per given numbers 290/846, 679/547 is
GCF of Numerators i.e. for 290,679 is 1
LCM of denominators i.e. for 846,547 is 462762.
Thus, GCF of Fractions is 1/462762.Finally, GCF of Fractions for 290/846, 679/547 is 1/462762.