GCF of 4295/484, 5749/7058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4295/484, 5749/7058 i.e 1/1708036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4295/484, 5749/7058.
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 4295/484,5749/7058?
Given fractions are 4295/484,5749/7058
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 4295/484,5749/7058, numerators are 4295,5749
Denominators are 484,7058
The GCF of 4295,5749 is 1 .
LCM of 484,7058 is 1708036.
The greatest common factor of 4295/484,5749/7058 = [GCF of 4295,5749]/[LCM of 484,7058]= 1/1708036
Therefore, the GCF of 4295/484,5749/7058 is 1/1708036.
To find the highest common factor of 4295,5749, we have to find the factors of both numbers and list the highest common factor.
The factors of 4295 are 1, 5, 859, 4295
The factors of 5749 are 1, 5749
The HCF of 4295,5749 is 1.
Lets's calculate GCF of 4295,5749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4295,5749 By Matching Biggest Common Factor Method
Now, list down the factors of 4295
:1,5,859,4295
Now, list down the factors of 5749
:1,5749
Greatest Common Factor
We found the factors 4295,5749 . The biggest common factor number is the GCF number.
So the greatest common factor 4295,5749 is 1.
Lets's calculate LCM of 484,7058
| 2 | 484, 7058 |
| 242, 3529 |
∴ So the LCM of the given numbers is 2 x 242 x 3529 = 1708036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1708036
Therefore, the GCF of Fractions 4295/484,5749/7058 is 1/1708036
Least Common Multiple of 484,7058 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 484,7058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,7058) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,7058) x common factors =2 x 1 = 2
LCM(484,7058) = ( 484 × 7058 ) / 2
LCM(484,7058) = 3416072 / 2
LCM(484,7058) = 1708036
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FAQs on GCF of Fractions of 4295/484, 5749/7058
1. What is the HCF of 4295,5749?
The HCF of 4295,5749 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 4295/484, 5749/7058?
Answer: GCF of Numerators as per given numbers 4295/484, 5749/7058 is
GCF of Numerators i.e. for 4295,5749 is 1
LCM of denominators i.e. for 484,7058 is 1708036.
Thus, GCF of Fractions is 1/1708036.Finally, GCF of Fractions for 4295/484, 5749/7058 is 1/1708036.