GCF of 93/58, 130/52, 202/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 93/58, 130/52, 202/821 i.e 1/1238068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/58, 130/52, 202/821.
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 93/58,130/52,202/821?
Given fractions are 93/58,130/52,202/821
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 93/58,130/52,202/821, numerators are 93,130,202
Denominators are 58,52,821
The GCF of 93,130,202 is 1 .
LCM of 58,52,821 is 1238068.
The greatest common factor of 93/58,130/52,202/821 = [GCF of 93,130,202]/[LCM of 58,52,821]= 1/1238068
Therefore, the GCF of 93/58,130/52,202/821 is 1/1238068.
To find the highest common factor of 93,130,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The factors of 202 are 1, 2, 101, 202
The HCF of 93,130,202 is 1.
Lets's calculate GCF of 93,130,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 93,130,202 By Matching Biggest Common Factor Method
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 93,130,202 . The biggest common factor number is the GCF number.
So the greatest common factor 93,130,202 is 1.
Lets's calculate LCM of 58,52,821
| 2 | 58, 52, 821 |
| 29, 26, 821 |
∴ So the LCM of the given numbers is 2 x 29 x 26 x 821 = 1238068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1238068
Therefore, the GCF of Fractions 93/58,130/52,202/821 is 1/1238068
Least Common Multiple of 58,52,821 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 58,52,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,52,821) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,52,821) x common factors =1 x 2 = 2
LCM(58,52,821) = ( 58 × 52 × 821 ) / 2
LCM(58,52,821) = 2476136 / 2
LCM(58,52,821) = 1238068
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FAQs on GCF of Fractions of 93/58, 130/52, 202/821
1. What is the HCF of 93,130,202?
The HCF of 93,130,202 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 93/58, 130/52, 202/821?
Answer: GCF of Numerators as per given numbers 93/58, 130/52, 202/821 is
GCF of Numerators i.e. for 93,130,202 is 1
LCM of denominators i.e. for 58,52,821 is 1238068.
Thus, GCF of Fractions is 1/1238068.Finally, GCF of Fractions for 93/58, 130/52, 202/821 is 1/1238068.