GCF of 62/658, 58/123, 745/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/658, 58/123, 745/492 i.e 1/161868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/658, 58/123, 745/492.
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 62/658,58/123,745/492?
Given fractions are 62/658,58/123,745/492
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 62/658,58/123,745/492, numerators are 62,58,745
Denominators are 658,123,492
The GCF of 62,58,745 is 1 .
LCM of 658,123,492 is 161868.
The greatest common factor of 62/658,58/123,745/492 = [GCF of 62,58,745]/[LCM of 658,123,492]= 1/161868
Therefore, the GCF of 62/658,58/123,745/492 is 1/161868.
To find the highest common factor of 62,58,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 58 are 1, 2, 29, 58
The factors of 745 are 1, 5, 149, 745
The HCF of 62,58,745 is 1.
Lets's calculate GCF of 62,58,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,58,745 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 62,58,745 . The biggest common factor number is the GCF number.
So the greatest common factor 62,58,745 is 1.
Lets's calculate LCM of 658,123,492
| 2 | 658, 123, 492 |
| 3 | 329, 123, 246 |
| 41 | 329, 41, 82 |
| 329, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 329 x 1 x 2 = 161868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161868
Therefore, the GCF of Fractions 62/658,58/123,745/492 is 1/161868
Least Common Multiple of 658,123,492 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 658,123,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,123,492) = 1
common factors(in case of two or more numbers have common factors) = 246
GCF(658,123,492) x common factors =1 x 246 = 246
LCM(658,123,492) = ( 658 × 123 × 492 ) / 246
LCM(658,123,492) = 39819528 / 246
LCM(658,123,492) = 161868
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FAQs on GCF of Fractions of 62/658, 58/123, 745/492
1. What is the HCF of 62,58,745?
The HCF of 62,58,745 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 62/658, 58/123, 745/492?
Answer: GCF of Numerators as per given numbers 62/658, 58/123, 745/492 is
GCF of Numerators i.e. for 62,58,745 is 1
LCM of denominators i.e. for 658,123,492 is 161868.
Thus, GCF of Fractions is 1/161868.Finally, GCF of Fractions for 62/658, 58/123, 745/492 is 1/161868.