GCF of 290/364, 5073/602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/364, 5073/602 i.e 1/15652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/364, 5073/602.
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 290/364,5073/602?
Given fractions are 290/364,5073/602
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 290/364,5073/602, numerators are 290,5073
Denominators are 364,602
The GCF of 290,5073 is 1 .
LCM of 364,602 is 15652.
The greatest common factor of 290/364,5073/602 = [GCF of 290,5073]/[LCM of 364,602]= 1/15652
Therefore, the GCF of 290/364,5073/602 is 1/15652.
To find the highest common factor of 290,5073, 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 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073
The HCF of 290,5073 is 1.
Lets's calculate GCF of 290,5073
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,5073 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 5073
:1,3,19,57,89,267,1691,5073
Greatest Common Factor
We found the factors 290,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 290,5073 is 1.
Lets's calculate LCM of 364,602
| 2 | 364, 602 |
| 7 | 182, 301 |
| 26, 43 |
∴ So the LCM of the given numbers is 2 x 7 x 26 x 43 = 15652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15652
Therefore, the GCF of Fractions 290/364,5073/602 is 1/15652
Least Common Multiple of 364,602 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 364,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,602) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(364,602) x common factors =14 x 1 = 14
LCM(364,602) = ( 364 × 602 ) / 14
LCM(364,602) = 219128 / 14
LCM(364,602) = 15652
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FAQs on GCF of Fractions of 290/364, 5073/602
1. What is the HCF of 290,5073?
The HCF of 290,5073 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 290/364, 5073/602?
Answer: GCF of Numerators as per given numbers 290/364, 5073/602 is
GCF of Numerators i.e. for 290,5073 is 1
LCM of denominators i.e. for 364,602 is 15652.
Thus, GCF of Fractions is 1/15652.Finally, GCF of Fractions for 290/364, 5073/602 is 1/15652.