GCF of 6348/546, 2549/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6348/546, 2549/667 i.e 1/364182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6348/546, 2549/667.
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 6348/546,2549/667?
Given fractions are 6348/546,2549/667
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 6348/546,2549/667, numerators are 6348,2549
Denominators are 546,667
The GCF of 6348,2549 is 1 .
LCM of 546,667 is 364182.
The greatest common factor of 6348/546,2549/667 = [GCF of 6348,2549]/[LCM of 546,667]= 1/364182
Therefore, the GCF of 6348/546,2549/667 is 1/364182.
To find the highest common factor of 6348,2549, we have to find the factors of both numbers and list the highest common factor.
The factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348
The factors of 2549 are 1, 2549
The HCF of 6348,2549 is 1.
Lets's calculate GCF of 6348,2549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6348,2549 By Matching Biggest Common Factor Method
Now, list down the factors of 6348
:1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Now, list down the factors of 2549
:1,2549
Greatest Common Factor
We found the factors 6348,2549 . The biggest common factor number is the GCF number.
So the greatest common factor 6348,2549 is 1.
Lets's calculate LCM of 546,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 364182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364182
Therefore, the GCF of Fractions 6348/546,2549/667 is 1/364182
Least Common Multiple of 546,667 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 546,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,667) x common factors =1 x 1 = 1
LCM(546,667) = ( 546 × 667 ) / 1
LCM(546,667) = 364182 / 1
LCM(546,667) = 364182
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FAQs on GCF of Fractions of 6348/546, 2549/667
1. What is the HCF of 6348,2549?
The HCF of 6348,2549 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 6348/546, 2549/667?
Answer: GCF of Numerators as per given numbers 6348/546, 2549/667 is
GCF of Numerators i.e. for 6348,2549 is 1
LCM of denominators i.e. for 546,667 is 364182.
Thus, GCF of Fractions is 1/364182.Finally, GCF of Fractions for 6348/546, 2549/667 is 1/364182.