GCF of 1052/312, 2925/6363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1052/312, 2925/6363 i.e 1/661752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1052/312, 2925/6363.
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 1052/312,2925/6363?
Given fractions are 1052/312,2925/6363
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 1052/312,2925/6363, numerators are 1052,2925
Denominators are 312,6363
The GCF of 1052,2925 is 1 .
LCM of 312,6363 is 661752.
The greatest common factor of 1052/312,2925/6363 = [GCF of 1052,2925]/[LCM of 312,6363]= 1/661752
Therefore, the GCF of 1052/312,2925/6363 is 1/661752.
To find the highest common factor of 1052,2925, we have to find the factors of both numbers and list the highest common factor.
The factors of 1052 are 1, 2, 4, 263, 526, 1052
The factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925
The HCF of 1052,2925 is 1.
Lets's calculate GCF of 1052,2925
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1052,2925 By Matching Biggest Common Factor Method
Now, list down the factors of 1052
:1,2,4,263,526,1052
Now, list down the factors of 2925
:1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925
Greatest Common Factor
We found the factors 1052,2925 . The biggest common factor number is the GCF number.
So the greatest common factor 1052,2925 is 1.
Lets's calculate LCM of 312,6363
| 3 | 312, 6363 |
| 104, 2121 |
∴ So the LCM of the given numbers is 3 x 104 x 2121 = 661752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661752
Therefore, the GCF of Fractions 1052/312,2925/6363 is 1/661752
Least Common Multiple of 312,6363 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 312,6363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,6363) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(312,6363) x common factors =3 x 1 = 3
LCM(312,6363) = ( 312 × 6363 ) / 3
LCM(312,6363) = 1985256 / 3
LCM(312,6363) = 661752
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FAQs on GCF of Fractions of 1052/312, 2925/6363
1. What is the HCF of 1052,2925?
The HCF of 1052,2925 is 1
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 1052/312, 2925/6363?
Answer: GCF of Numerators as per given numbers 1052/312, 2925/6363 is
GCF of Numerators i.e. for 1052,2925 is 1
LCM of denominators i.e. for 312,6363 is 661752.
Thus, GCF of Fractions is 1/661752.Finally, GCF of Fractions for 1052/312, 2925/6363 is 1/661752.