GCF of 1952/978, 7991/4646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1952/978, 7991/4646 i.e 61/2271894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1952/978, 7991/4646.
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 1952/978,7991/4646?
Given fractions are 1952/978,7991/4646
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 1952/978,7991/4646, numerators are 1952,7991
Denominators are 978,4646
The GCF of 1952,7991 is 61 .
LCM of 978,4646 is 2271894.
The greatest common factor of 1952/978,7991/4646 = [GCF of 1952,7991]/[LCM of 978,4646]= 61/2271894
Therefore, the GCF of 1952/978,7991/4646 is 61/2271894.
To find the highest common factor of 1952,7991, we have to find the factors of both numbers and list the highest common factor.
The factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952
The factors of 7991 are 1, 61, 131, 7991
The HCF of 1952,7991 is 61.
Lets's calculate GCF of 1952,7991
| 61 | 1952, 7991 |
| 32, 131 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 1952,7991 By Matching Biggest Common Factor Method
Now, list down the factors of 1952
:1,2,4,8,16,32,61,122,244,488,976,1952
Now, list down the factors of 7991
:1,61,131,7991
Greatest Common Factor
We found the factors 1952,7991 . The biggest common factor number is the GCF number.
So the greatest common factor 1952,7991 is 61.
Lets's calculate LCM of 978,4646
| 2 | 978, 4646 |
| 489, 2323 |
∴ So the LCM of the given numbers is 2 x 489 x 2323 = 2271894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/2271894
Therefore, the GCF of Fractions 1952/978,7991/4646 is 61/2271894
Least Common Multiple of 978,4646 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 978,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,4646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,4646) x common factors =2 x 1 = 2
LCM(978,4646) = ( 978 × 4646 ) / 2
LCM(978,4646) = 4543788 / 2
LCM(978,4646) = 2271894
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1952/978, 7991/4646
1. What is the HCF of 1952,7991?
The HCF of 1952,7991 is 61
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 1952/978, 7991/4646?
Answer: GCF of Numerators as per given numbers 1952/978, 7991/4646 is
GCF of Numerators i.e. for 1952,7991 is 61
LCM of denominators i.e. for 978,4646 is 2271894.
Thus, GCF of Fractions is 61/2271894.Finally, GCF of Fractions for 1952/978, 7991/4646 is 61/2271894.