GCF of 48/55, 762/91, 733/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/55, 762/91, 733/208 i.e 1/80080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/55, 762/91, 733/208.
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 48/55,762/91,733/208?
Given fractions are 48/55,762/91,733/208
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 48/55,762/91,733/208, numerators are 48,762,733
Denominators are 55,91,208
The GCF of 48,762,733 is 1 .
LCM of 55,91,208 is 80080.
The greatest common factor of 48/55,762/91,733/208 = [GCF of 48,762,733]/[LCM of 55,91,208]= 1/80080
Therefore, the GCF of 48/55,762/91,733/208 is 1/80080.
To find the highest common factor of 48,762,733, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The factors of 733 are 1, 733
The HCF of 48,762,733 is 1.
Lets's calculate GCF of 48,762,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 48,762,733 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Now, list down the factors of 733
:1,733
Greatest Common Factor
We found the factors 48,762,733 . The biggest common factor number is the GCF number.
So the greatest common factor 48,762,733 is 1.
Lets's calculate LCM of 55,91,208
| 13 | 55, 91, 208 |
| 55, 7, 16 |
∴ So the LCM of the given numbers is 13 x 55 x 7 x 16 = 80080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80080
Therefore, the GCF of Fractions 48/55,762/91,733/208 is 1/80080
Least Common Multiple of 55,91,208 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 55,91,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,91,208) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(55,91,208) x common factors =1 x 13 = 13
LCM(55,91,208) = ( 55 × 91 × 208 ) / 13
LCM(55,91,208) = 1041040 / 13
LCM(55,91,208) = 80080
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FAQs on GCF of Fractions of 48/55, 762/91, 733/208
1. What is the HCF of 48,762,733?
The HCF of 48,762,733 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 48/55, 762/91, 733/208?
Answer: GCF of Numerators as per given numbers 48/55, 762/91, 733/208 is
GCF of Numerators i.e. for 48,762,733 is 1
LCM of denominators i.e. for 55,91,208 is 80080.
Thus, GCF of Fractions is 1/80080.Finally, GCF of Fractions for 48/55, 762/91, 733/208 is 1/80080.