GCF of 1052/924, 7466/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1052/924, 7466/2782 i.e 2/1285284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1052/924, 7466/2782.
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 1052/924,7466/2782?
Given fractions are 1052/924,7466/2782
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 1052/924,7466/2782, numerators are 1052,7466
Denominators are 924,2782
The GCF of 1052,7466 is 2 .
LCM of 924,2782 is 1285284.
The greatest common factor of 1052/924,7466/2782 = [GCF of 1052,7466]/[LCM of 924,2782]= 2/1285284
Therefore, the GCF of 1052/924,7466/2782 is 2/1285284.
To find the highest common factor of 1052,7466, 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 7466 are 1, 2, 3733, 7466
The HCF of 1052,7466 is 2.
Lets's calculate GCF of 1052,7466
| 2 | 1052, 7466 |
| 526, 3733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1052,7466 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 7466
:1,2,3733,7466
Greatest Common Factor
We found the factors 1052,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 1052,7466 is 2.
Lets's calculate LCM of 924,2782
| 2 | 924, 2782 |
| 462, 1391 |
∴ So the LCM of the given numbers is 2 x 462 x 1391 = 1285284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1285284
Therefore, the GCF of Fractions 1052/924,7466/2782 is 2/1285284
Least Common Multiple of 924,2782 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 924,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,2782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(924,2782) x common factors =2 x 1 = 2
LCM(924,2782) = ( 924 × 2782 ) / 2
LCM(924,2782) = 2570568 / 2
LCM(924,2782) = 1285284
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FAQs on GCF of Fractions of 1052/924, 7466/2782
1. What is the HCF of 1052,7466?
The HCF of 1052,7466 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 1052/924, 7466/2782?
Answer: GCF of Numerators as per given numbers 1052/924, 7466/2782 is
GCF of Numerators i.e. for 1052,7466 is 2
LCM of denominators i.e. for 924,2782 is 1285284.
Thus, GCF of Fractions is 2/1285284.Finally, GCF of Fractions for 1052/924, 7466/2782 is 2/1285284.