GCF of 1541/128, 7624/4330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1541/128, 7624/4330 i.e 1/277120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1541/128, 7624/4330.
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 1541/128,7624/4330?
Given fractions are 1541/128,7624/4330
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 1541/128,7624/4330, numerators are 1541,7624
Denominators are 128,4330
The GCF of 1541,7624 is 1 .
LCM of 128,4330 is 277120.
The greatest common factor of 1541/128,7624/4330 = [GCF of 1541,7624]/[LCM of 128,4330]= 1/277120
Therefore, the GCF of 1541/128,7624/4330 is 1/277120.
To find the highest common factor of 1541,7624, we have to find the factors of both numbers and list the highest common factor.
The factors of 1541 are 1, 23, 67, 1541
The factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624
The HCF of 1541,7624 is 1.
Lets's calculate GCF of 1541,7624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1541,7624 By Matching Biggest Common Factor Method
Now, list down the factors of 1541
:1,23,67,1541
Now, list down the factors of 7624
:1,2,4,8,953,1906,3812,7624
Greatest Common Factor
We found the factors 1541,7624 . The biggest common factor number is the GCF number.
So the greatest common factor 1541,7624 is 1.
Lets's calculate LCM of 128,4330
| 2 | 128, 4330 |
| 64, 2165 |
∴ So the LCM of the given numbers is 2 x 64 x 2165 = 277120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277120
Therefore, the GCF of Fractions 1541/128,7624/4330 is 1/277120
Least Common Multiple of 128,4330 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 128,4330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,4330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,4330) x common factors =2 x 1 = 2
LCM(128,4330) = ( 128 × 4330 ) / 2
LCM(128,4330) = 554240 / 2
LCM(128,4330) = 277120
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FAQs on GCF of Fractions of 1541/128, 7624/4330
1. What is the HCF of 1541,7624?
The HCF of 1541,7624 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 1541/128, 7624/4330?
Answer: GCF of Numerators as per given numbers 1541/128, 7624/4330 is
GCF of Numerators i.e. for 1541,7624 is 1
LCM of denominators i.e. for 128,4330 is 277120.
Thus, GCF of Fractions is 1/277120.Finally, GCF of Fractions for 1541/128, 7624/4330 is 1/277120.