GCF of 62/564, 26/187, 498/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/564, 26/187, 498/456 i.e 2/4007784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/564, 26/187, 498/456.
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 62/564,26/187,498/456?
Given fractions are 62/564,26/187,498/456
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 62/564,26/187,498/456, numerators are 62,26,498
Denominators are 564,187,456
The GCF of 62,26,498 is 2 .
LCM of 564,187,456 is 4007784.
The greatest common factor of 62/564,26/187,498/456 = [GCF of 62,26,498]/[LCM of 564,187,456]= 2/4007784
Therefore, the GCF of 62/564,26/187,498/456 is 2/4007784.
To find the highest common factor of 62,26,498, 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 26 are 1, 2, 13, 26
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 62,26,498 is 2.
Lets's calculate GCF of 62,26,498
| 2 | 62, 26, 498 |
| 31, 13, 249 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 62,26,498 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 62,26,498 . The biggest common factor number is the GCF number.
So the greatest common factor 62,26,498 is 2.
Lets's calculate LCM of 564,187,456
| 2 | 564, 187, 456 |
| 2 | 282, 187, 228 |
| 3 | 141, 187, 114 |
| 47, 187, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 187 x 38 = 4007784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4007784
Therefore, the GCF of Fractions 62/564,26/187,498/456 is 2/4007784
Least Common Multiple of 564,187,456 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 564,187,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,187,456) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(564,187,456) x common factors =1 x 12 = 12
LCM(564,187,456) = ( 564 × 187 × 456 ) / 12
LCM(564,187,456) = 48093408 / 12
LCM(564,187,456) = 4007784
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FAQs on GCF of Fractions of 62/564, 26/187, 498/456
1. What is the HCF of 62,26,498?
The HCF of 62,26,498 is 2
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 62/564, 26/187, 498/456?
Answer: GCF of Numerators as per given numbers 62/564, 26/187, 498/456 is
GCF of Numerators i.e. for 62,26,498 is 2
LCM of denominators i.e. for 564,187,456 is 4007784.
Thus, GCF of Fractions is 2/4007784.Finally, GCF of Fractions for 62/564, 26/187, 498/456 is 2/4007784.