GCF of 877/123, 704/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 877/123, 704/738 i.e 1/738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/123, 704/738.
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 877/123,704/738?
Given fractions are 877/123,704/738
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 877/123,704/738, numerators are 877,704
Denominators are 123,738
The GCF of 877,704 is 1 .
LCM of 123,738 is 738.
The greatest common factor of 877/123,704/738 = [GCF of 877,704]/[LCM of 123,738]= 1/738
Therefore, the GCF of 877/123,704/738 is 1/738.
To find the highest common factor of 877,704, we have to find the factors of both numbers and list the highest common factor.
The factors of 877 are 1, 877
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The HCF of 877,704 is 1.
Lets's calculate GCF of 877,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 877,704 By Matching Biggest Common Factor Method
Now, list down the factors of 877
:1,877
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 877,704 . The biggest common factor number is the GCF number.
So the greatest common factor 877,704 is 1.
Lets's calculate LCM of 123,738
| 3 | 123, 738 |
| 41 | 41, 246 |
| 1, 6 |
∴ So the LCM of the given numbers is 3 x 41 x 1 x 6 = 738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738
Therefore, the GCF of Fractions 877/123,704/738 is 1/738
Least Common Multiple of 123,738 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 123,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,738) = 123
common factors(in case of two or more numbers have common factors) = 1
GCF(123,738) x common factors =123 x 1 = 123
LCM(123,738) = ( 123 × 738 ) / 123
LCM(123,738) = 90774 / 123
LCM(123,738) = 738
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FAQs on GCF of Fractions of 877/123, 704/738
1. What is the HCF of 877,704?
The HCF of 877,704 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 877/123, 704/738?
Answer: GCF of Numerators as per given numbers 877/123, 704/738 is
GCF of Numerators i.e. for 877,704 is 1
LCM of denominators i.e. for 123,738 is 738.
Thus, GCF of Fractions is 1/738.Finally, GCF of Fractions for 877/123, 704/738 is 1/738.