GCF of 758/16, 503/78, 880/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/16, 503/78, 880/111 i.e 1/23088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/16, 503/78, 880/111.
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 758/16,503/78,880/111?
Given fractions are 758/16,503/78,880/111
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 758/16,503/78,880/111, numerators are 758,503,880
Denominators are 16,78,111
The GCF of 758,503,880 is 1 .
LCM of 16,78,111 is 23088.
The greatest common factor of 758/16,503/78,880/111 = [GCF of 758,503,880]/[LCM of 16,78,111]= 1/23088
Therefore, the GCF of 758/16,503/78,880/111 is 1/23088.
To find the highest common factor of 758,503,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 503 are 1, 503
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 758,503,880 is 1.
Lets's calculate GCF of 758,503,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 758,503,880 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 503
:1,503
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 758,503,880 . The biggest common factor number is the GCF number.
So the greatest common factor 758,503,880 is 1.
Lets's calculate LCM of 16,78,111
| 2 | 16, 78, 111 |
| 3 | 8, 39, 111 |
| 8, 13, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 13 x 37 = 23088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23088
Therefore, the GCF of Fractions 758/16,503/78,880/111 is 1/23088
Least Common Multiple of 16,78,111 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 16,78,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,78,111) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(16,78,111) x common factors =1 x 6 = 6
LCM(16,78,111) = ( 16 × 78 × 111 ) / 6
LCM(16,78,111) = 138528 / 6
LCM(16,78,111) = 23088
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FAQs on GCF of Fractions of 758/16, 503/78, 880/111
1. What is the HCF of 758,503,880?
The HCF of 758,503,880 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 758/16, 503/78, 880/111?
Answer: GCF of Numerators as per given numbers 758/16, 503/78, 880/111 is
GCF of Numerators i.e. for 758,503,880 is 1
LCM of denominators i.e. for 16,78,111 is 23088.
Thus, GCF of Fractions is 1/23088.Finally, GCF of Fractions for 758/16, 503/78, 880/111 is 1/23088.