GCF of 534/984, 788/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 534/984, 788/678 i.e 2/111192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/984, 788/678.
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 534/984,788/678?
Given fractions are 534/984,788/678
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 534/984,788/678, numerators are 534,788
Denominators are 984,678
The GCF of 534,788 is 2 .
LCM of 984,678 is 111192.
The greatest common factor of 534/984,788/678 = [GCF of 534,788]/[LCM of 984,678]= 2/111192
Therefore, the GCF of 534/984,788/678 is 2/111192.
To find the highest common factor of 534,788, we have to find the factors of both numbers and list the highest common factor.
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The factors of 788 are 1, 2, 4, 197, 394, 788
The HCF of 534,788 is 2.
Lets's calculate GCF of 534,788
| 2 | 534, 788 |
| 267, 394 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 534,788 By Matching Biggest Common Factor Method
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Now, list down the factors of 788
:1,2,4,197,394,788
Greatest Common Factor
We found the factors 534,788 . The biggest common factor number is the GCF number.
So the greatest common factor 534,788 is 2.
Lets's calculate LCM of 984,678
| 2 | 984, 678 |
| 3 | 492, 339 |
| 164, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 164 x 113 = 111192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111192
Therefore, the GCF of Fractions 534/984,788/678 is 2/111192
Least Common Multiple of 984,678 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 984,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,678) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(984,678) x common factors =6 x 1 = 6
LCM(984,678) = ( 984 × 678 ) / 6
LCM(984,678) = 667152 / 6
LCM(984,678) = 111192
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FAQs on GCF of Fractions of 534/984, 788/678
1. What is the HCF of 534,788?
The HCF of 534,788 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 534/984, 788/678?
Answer: GCF of Numerators as per given numbers 534/984, 788/678 is
GCF of Numerators i.e. for 534,788 is 2
LCM of denominators i.e. for 984,678 is 111192.
Thus, GCF of Fractions is 2/111192.Finally, GCF of Fractions for 534/984, 788/678 is 2/111192.