GCF of 557/67, 305/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 557/67, 305/547 i.e 1/36649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/67, 305/547.
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 557/67,305/547?
Given fractions are 557/67,305/547
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 557/67,305/547, numerators are 557,305
Denominators are 67,547
The GCF of 557,305 is 1 .
LCM of 67,547 is 36649.
The greatest common factor of 557/67,305/547 = [GCF of 557,305]/[LCM of 67,547]= 1/36649
Therefore, the GCF of 557/67,305/547 is 1/36649.
To find the highest common factor of 557,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 557 are 1, 557
The factors of 305 are 1, 5, 61, 305
The HCF of 557,305 is 1.
Lets's calculate GCF of 557,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 557,305 By Matching Biggest Common Factor Method
Now, list down the factors of 557
:1,557
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 557,305 . The biggest common factor number is the GCF number.
So the greatest common factor 557,305 is 1.
Lets's calculate LCM of 67,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 36649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36649
Therefore, the GCF of Fractions 557/67,305/547 is 1/36649
Least Common Multiple of 67,547 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 67,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,547) x common factors =1 x 1 = 1
LCM(67,547) = ( 67 × 547 ) / 1
LCM(67,547) = 36649 / 1
LCM(67,547) = 36649
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 557/67, 305/547
1. What is the HCF of 557,305?
The HCF of 557,305 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 557/67, 305/547?
Answer: GCF of Numerators as per given numbers 557/67, 305/547 is
GCF of Numerators i.e. for 557,305 is 1
LCM of denominators i.e. for 67,547 is 36649.
Thus, GCF of Fractions is 1/36649.Finally, GCF of Fractions for 557/67, 305/547 is 1/36649.