GCF of 1948/773, 9472/4078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1948/773, 9472/4078 i.e 4/3152294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1948/773, 9472/4078.
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 1948/773,9472/4078?
Given fractions are 1948/773,9472/4078
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 1948/773,9472/4078, numerators are 1948,9472
Denominators are 773,4078
The GCF of 1948,9472 is 4 .
LCM of 773,4078 is 3152294.
The greatest common factor of 1948/773,9472/4078 = [GCF of 1948,9472]/[LCM of 773,4078]= 4/3152294
Therefore, the GCF of 1948/773,9472/4078 is 4/3152294.
To find the highest common factor of 1948,9472, we have to find the factors of both numbers and list the highest common factor.
The factors of 1948 are 1, 2, 4, 487, 974, 1948
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The HCF of 1948,9472 is 4.
Lets's calculate GCF of 1948,9472
| 2 | 1948, 9472 |
| 2 | 974, 4736 |
| 487, 2368 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1948,9472 By Matching Biggest Common Factor Method
Now, list down the factors of 1948
:1,2,4,487,974,1948
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Greatest Common Factor
We found the factors 1948,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 1948,9472 is 4.
Lets's calculate LCM of 773,4078
Given numbers has no common factors except 1. So, there LCM is their product i.e 3152294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3152294
Therefore, the GCF of Fractions 1948/773,9472/4078 is 4/3152294
Least Common Multiple of 773,4078 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 773,4078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,4078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,4078) x common factors =1 x 1 = 1
LCM(773,4078) = ( 773 × 4078 ) / 1
LCM(773,4078) = 3152294 / 1
LCM(773,4078) = 3152294
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FAQs on GCF of Fractions of 1948/773, 9472/4078
1. What is the HCF of 1948,9472?
The HCF of 1948,9472 is 4
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 1948/773, 9472/4078?
Answer: GCF of Numerators as per given numbers 1948/773, 9472/4078 is
GCF of Numerators i.e. for 1948,9472 is 4
LCM of denominators i.e. for 773,4078 is 3152294.
Thus, GCF of Fractions is 4/3152294.Finally, GCF of Fractions for 1948/773, 9472/4078 is 4/3152294.