GCF of 5052/795, 9248/3986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5052/795, 9248/3986 i.e 4/3168870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5052/795, 9248/3986.
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 5052/795,9248/3986?
Given fractions are 5052/795,9248/3986
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 5052/795,9248/3986, numerators are 5052,9248
Denominators are 795,3986
The GCF of 5052,9248 is 4 .
LCM of 795,3986 is 3168870.
The greatest common factor of 5052/795,9248/3986 = [GCF of 5052,9248]/[LCM of 795,3986]= 4/3168870
Therefore, the GCF of 5052/795,9248/3986 is 4/3168870.
To find the highest common factor of 5052,9248, we have to find the factors of both numbers and list the highest common factor.
The factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052
The factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248
The HCF of 5052,9248 is 4.
Lets's calculate GCF of 5052,9248
| 2 | 5052, 9248 |
| 2 | 2526, 4624 |
| 1263, 2312 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5052,9248 By Matching Biggest Common Factor Method
Now, list down the factors of 5052
:1,2,3,4,6,12,421,842,1263,1684,2526,5052
Now, list down the factors of 9248
:1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248
Greatest Common Factor
We found the factors 5052,9248 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,9248 is 4.
Lets's calculate LCM of 795,3986
Given numbers has no common factors except 1. So, there LCM is their product i.e 3168870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3168870
Therefore, the GCF of Fractions 5052/795,9248/3986 is 4/3168870
Least Common Multiple of 795,3986 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 795,3986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,3986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,3986) x common factors =1 x 1 = 1
LCM(795,3986) = ( 795 × 3986 ) / 1
LCM(795,3986) = 3168870 / 1
LCM(795,3986) = 3168870
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5052/795, 9248/3986
1. What is the HCF of 5052,9248?
The HCF of 5052,9248 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 5052/795, 9248/3986?
Answer: GCF of Numerators as per given numbers 5052/795, 9248/3986 is
GCF of Numerators i.e. for 5052,9248 is 4
LCM of denominators i.e. for 795,3986 is 3168870.
Thus, GCF of Fractions is 4/3168870.Finally, GCF of Fractions for 5052/795, 9248/3986 is 4/3168870.