GCF of 7564/625, 4286/5042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7564/625, 4286/5042 i.e 2/3151250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7564/625, 4286/5042.
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 7564/625,4286/5042?
Given fractions are 7564/625,4286/5042
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 7564/625,4286/5042, numerators are 7564,4286
Denominators are 625,5042
The GCF of 7564,4286 is 2 .
LCM of 625,5042 is 3151250.
The greatest common factor of 7564/625,4286/5042 = [GCF of 7564,4286]/[LCM of 625,5042]= 2/3151250
Therefore, the GCF of 7564/625,4286/5042 is 2/3151250.
To find the highest common factor of 7564,4286, we have to find the factors of both numbers and list the highest common factor.
The factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564
The factors of 4286 are 1, 2, 2143, 4286
The HCF of 7564,4286 is 2.
Lets's calculate GCF of 7564,4286
| 2 | 7564, 4286 |
| 3782, 2143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7564,4286 By Matching Biggest Common Factor Method
Now, list down the factors of 7564
:1,2,4,31,61,62,122,124,244,1891,3782,7564
Now, list down the factors of 4286
:1,2,2143,4286
Greatest Common Factor
We found the factors 7564,4286 . The biggest common factor number is the GCF number.
So the greatest common factor 7564,4286 is 2.
Lets's calculate LCM of 625,5042
Given numbers has no common factors except 1. So, there LCM is their product i.e 3151250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3151250
Therefore, the GCF of Fractions 7564/625,4286/5042 is 2/3151250
Least Common Multiple of 625,5042 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 625,5042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,5042) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,5042) x common factors =1 x 1 = 1
LCM(625,5042) = ( 625 × 5042 ) / 1
LCM(625,5042) = 3151250 / 1
LCM(625,5042) = 3151250
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FAQs on GCF of Fractions of 7564/625, 4286/5042
1. What is the HCF of 7564,4286?
The HCF of 7564,4286 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 7564/625, 4286/5042?
Answer: GCF of Numerators as per given numbers 7564/625, 4286/5042 is
GCF of Numerators i.e. for 7564,4286 is 2
LCM of denominators i.e. for 625,5042 is 3151250.
Thus, GCF of Fractions is 2/3151250.Finally, GCF of Fractions for 7564/625, 4286/5042 is 2/3151250.