Use our free GCF of Fractions Calculator tool to compute the GCF of 749/883, 428/967 i.e 107/853861 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/883, 428/967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/883,428/967
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 749/883,428/967, numerators are 749,428
Denominators are 883,967
The GCF of 749,428 is 107 .
LCM of 883,967 is 853861.
The greatest common factor of 749/883,428/967 = [GCF of 749,428]/[LCM of 883,967]= 107/853861
Therefore, the GCF of 749/883,428/967 is 107/853861.
To find the highest common factor of 749,428, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 428 are 1, 2, 4, 107, 214, 428
The HCF of 749,428 is 107.
Lets's calculate GCF of 749,428
107 | 749, 428 |
7, 4 |
∴ So the GCF of the given numbers is 107 = 107
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 428
:1,2,4,107,214,428
Greatest Common Factor
We found the factors 749,428 . The biggest common factor number is the GCF number.
So the greatest common factor 749,428 is 107.
Lets's calculate LCM of 883,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 853861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/853861
Therefore, the GCF of Fractions 749/883,428/967 is 107/853861
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 883,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,967) x common factors =1 x 1 = 1
LCM(883,967) = ( 883 × 967 ) / 1
LCM(883,967) = 853861 / 1
LCM(883,967) = 853861
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 749,428?
The HCF of 749,428 is 107
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 749/883, 428/967?
Answer: GCF of Numerators as per given numbers 749/883, 428/967 is
GCF of Numerators i.e. for 749,428 is 107
LCM of denominators i.e. for 883,967 is 853861.
Thus, GCF of Fractions is 107/853861.Finally, GCF of Fractions for 749/883, 428/967 is 107/853861.