GCF of 28/344, 49/829, 494/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/344, 49/829, 494/689 i.e 1/196486264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/344, 49/829, 494/689.
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 28/344,49/829,494/689?
Given fractions are 28/344,49/829,494/689
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 28/344,49/829,494/689, numerators are 28,49,494
Denominators are 344,829,689
The GCF of 28,49,494 is 1 .
LCM of 344,829,689 is 196486264.
The greatest common factor of 28/344,49/829,494/689 = [GCF of 28,49,494]/[LCM of 344,829,689]= 1/196486264
Therefore, the GCF of 28/344,49/829,494/689 is 1/196486264.
To find the highest common factor of 28,49,494, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 49 are 1, 7, 49
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The HCF of 28,49,494 is 1.
Lets's calculate GCF of 28,49,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,49,494 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 28,49,494 . The biggest common factor number is the GCF number.
So the greatest common factor 28,49,494 is 1.
Lets's calculate LCM of 344,829,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 196486264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196486264
Therefore, the GCF of Fractions 28/344,49/829,494/689 is 1/196486264
Least Common Multiple of 344,829,689 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 344,829,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,829,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,829,689) x common factors =1 x 1 = 1
LCM(344,829,689) = ( 344 × 829 × 689 ) / 1
LCM(344,829,689) = 196486264 / 1
LCM(344,829,689) = 196486264
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FAQs on GCF of Fractions of 28/344, 49/829, 494/689
1. What is the HCF of 28,49,494?
The HCF of 28,49,494 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 28/344, 49/829, 494/689?
Answer: GCF of Numerators as per given numbers 28/344, 49/829, 494/689 is
GCF of Numerators i.e. for 28,49,494 is 1
LCM of denominators i.e. for 344,829,689 is 196486264.
Thus, GCF of Fractions is 1/196486264.Finally, GCF of Fractions for 28/344, 49/829, 494/689 is 1/196486264.