GCF of 4274/496, 5123/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4274/496, 5123/410 i.e 1/101680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4274/496, 5123/410.
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 4274/496,5123/410?
Given fractions are 4274/496,5123/410
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 4274/496,5123/410, numerators are 4274,5123
Denominators are 496,410
The GCF of 4274,5123 is 1 .
LCM of 496,410 is 101680.
The greatest common factor of 4274/496,5123/410 = [GCF of 4274,5123]/[LCM of 496,410]= 1/101680
Therefore, the GCF of 4274/496,5123/410 is 1/101680.
To find the highest common factor of 4274,5123, we have to find the factors of both numbers and list the highest common factor.
The factors of 4274 are 1, 2, 2137, 4274
The factors of 5123 are 1, 47, 109, 5123
The HCF of 4274,5123 is 1.
Lets's calculate GCF of 4274,5123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4274,5123 By Matching Biggest Common Factor Method
Now, list down the factors of 4274
:1,2,2137,4274
Now, list down the factors of 5123
:1,47,109,5123
Greatest Common Factor
We found the factors 4274,5123 . The biggest common factor number is the GCF number.
So the greatest common factor 4274,5123 is 1.
Lets's calculate LCM of 496,410
| 2 | 496, 410 |
| 248, 205 |
∴ So the LCM of the given numbers is 2 x 248 x 205 = 101680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101680
Therefore, the GCF of Fractions 4274/496,5123/410 is 1/101680
Least Common Multiple of 496,410 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 496,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,410) x common factors =2 x 1 = 2
LCM(496,410) = ( 496 × 410 ) / 2
LCM(496,410) = 203360 / 2
LCM(496,410) = 101680
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FAQs on GCF of Fractions of 4274/496, 5123/410
1. What is the HCF of 4274,5123?
The HCF of 4274,5123 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 4274/496, 5123/410?
Answer: GCF of Numerators as per given numbers 4274/496, 5123/410 is
GCF of Numerators i.e. for 4274,5123 is 1
LCM of denominators i.e. for 496,410 is 101680.
Thus, GCF of Fractions is 1/101680.Finally, GCF of Fractions for 4274/496, 5123/410 is 1/101680.