GCF of 32/208, 54/559, 948/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 32/208, 54/559, 948/962 i.e 2/330928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/208, 54/559, 948/962.
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 32/208,54/559,948/962?
Given fractions are 32/208,54/559,948/962
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 32/208,54/559,948/962, numerators are 32,54,948
Denominators are 208,559,962
The GCF of 32,54,948 is 2 .
LCM of 208,559,962 is 330928.
The greatest common factor of 32/208,54/559,948/962 = [GCF of 32,54,948]/[LCM of 208,559,962]= 2/330928
Therefore, the GCF of 32/208,54/559,948/962 is 2/330928.
To find the highest common factor of 32,54,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 32,54,948 is 2.
Lets's calculate GCF of 32,54,948
| 2 | 32, 54, 948 |
| 16, 27, 474 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 32,54,948 By Matching Biggest Common Factor Method
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 32,54,948 . The biggest common factor number is the GCF number.
So the greatest common factor 32,54,948 is 2.
Lets's calculate LCM of 208,559,962
| 2 | 208, 559, 962 |
| 13 | 104, 559, 481 |
| 8, 43, 37 |
∴ So the LCM of the given numbers is 2 x 13 x 8 x 43 x 37 = 330928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330928
Therefore, the GCF of Fractions 32/208,54/559,948/962 is 2/330928
Least Common Multiple of 208,559,962 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 208,559,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,559,962) = 13
common factors(in case of two or more numbers have common factors) = 26
GCF(208,559,962) x common factors =13 x 26 = 338
LCM(208,559,962) = ( 208 × 559 × 962 ) / 338
LCM(208,559,962) = 111853664 / 338
LCM(208,559,962) = 330928
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FAQs on GCF of Fractions of 32/208, 54/559, 948/962
1. What is the HCF of 32,54,948?
The HCF of 32,54,948 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 32/208, 54/559, 948/962?
Answer: GCF of Numerators as per given numbers 32/208, 54/559, 948/962 is
GCF of Numerators i.e. for 32,54,948 is 2
LCM of denominators i.e. for 208,559,962 is 330928.
Thus, GCF of Fractions is 2/330928.Finally, GCF of Fractions for 32/208, 54/559, 948/962 is 2/330928.