GCF of 3502/526, 2783/4048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3502/526, 2783/4048 i.e 1/1064624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3502/526, 2783/4048.
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 3502/526,2783/4048?
Given fractions are 3502/526,2783/4048
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 3502/526,2783/4048, numerators are 3502,2783
Denominators are 526,4048
The GCF of 3502,2783 is 1 .
LCM of 526,4048 is 1064624.
The greatest common factor of 3502/526,2783/4048 = [GCF of 3502,2783]/[LCM of 526,4048]= 1/1064624
Therefore, the GCF of 3502/526,2783/4048 is 1/1064624.
To find the highest common factor of 3502,2783, we have to find the factors of both numbers and list the highest common factor.
The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 3502,2783 is 1.
Lets's calculate GCF of 3502,2783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3502,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 3502
:1,2,17,34,103,206,1751,3502
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 3502,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 3502,2783 is 1.
Lets's calculate LCM of 526,4048
| 2 | 526, 4048 |
| 263, 2024 |
∴ So the LCM of the given numbers is 2 x 263 x 2024 = 1064624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1064624
Therefore, the GCF of Fractions 3502/526,2783/4048 is 1/1064624
Least Common Multiple of 526,4048 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 526,4048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,4048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,4048) x common factors =2 x 1 = 2
LCM(526,4048) = ( 526 × 4048 ) / 2
LCM(526,4048) = 2129248 / 2
LCM(526,4048) = 1064624
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FAQs on GCF of Fractions of 3502/526, 2783/4048
1. What is the HCF of 3502,2783?
The HCF of 3502,2783 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 3502/526, 2783/4048?
Answer: GCF of Numerators as per given numbers 3502/526, 2783/4048 is
GCF of Numerators i.e. for 3502,2783 is 1
LCM of denominators i.e. for 526,4048 is 1064624.
Thus, GCF of Fractions is 1/1064624.Finally, GCF of Fractions for 3502/526, 2783/4048 is 1/1064624.