GCF of 778/633, 1342/6073
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 778/633, 1342/6073 i.e 2/3844209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 778/633, 1342/6073.
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 778/633,1342/6073?
Given fractions are 778/633,1342/6073
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 778/633,1342/6073, numerators are 778,1342
Denominators are 633,6073
The GCF of 778,1342 is 2 .
LCM of 633,6073 is 3844209.
The greatest common factor of 778/633,1342/6073 = [GCF of 778,1342]/[LCM of 633,6073]= 2/3844209
Therefore, the GCF of 778/633,1342/6073 is 2/3844209.
To find the highest common factor of 778,1342, we have to find the factors of both numbers and list the highest common factor.
The factors of 778 are 1, 2, 389, 778
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The HCF of 778,1342 is 2.
Lets's calculate GCF of 778,1342
| 2 | 778, 1342 |
| 389, 671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 778,1342 By Matching Biggest Common Factor Method
Now, list down the factors of 778
:1,2,389,778
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 778,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 778,1342 is 2.
Lets's calculate LCM of 633,6073
Given numbers has no common factors except 1. So, there LCM is their product i.e 3844209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3844209
Therefore, the GCF of Fractions 778/633,1342/6073 is 2/3844209
Least Common Multiple of 633,6073 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 633,6073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,6073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,6073) x common factors =1 x 1 = 1
LCM(633,6073) = ( 633 × 6073 ) / 1
LCM(633,6073) = 3844209 / 1
LCM(633,6073) = 3844209
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FAQs on GCF of Fractions of 778/633, 1342/6073
1. What is the HCF of 778,1342?
The HCF of 778,1342 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 778/633, 1342/6073?
Answer: GCF of Numerators as per given numbers 778/633, 1342/6073 is
GCF of Numerators i.e. for 778,1342 is 2
LCM of denominators i.e. for 633,6073 is 3844209.
Thus, GCF of Fractions is 2/3844209.Finally, GCF of Fractions for 778/633, 1342/6073 is 2/3844209.