GCF of 1496/546, 9618/7262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1496/546, 9618/7262 i.e 2/1982526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1496/546, 9618/7262.
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 1496/546,9618/7262?
Given fractions are 1496/546,9618/7262
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 1496/546,9618/7262, numerators are 1496,9618
Denominators are 546,7262
The GCF of 1496,9618 is 2 .
LCM of 546,7262 is 1982526.
The greatest common factor of 1496/546,9618/7262 = [GCF of 1496,9618]/[LCM of 546,7262]= 2/1982526
Therefore, the GCF of 1496/546,9618/7262 is 2/1982526.
To find the highest common factor of 1496,9618, we have to find the factors of both numbers and list the highest common factor.
The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496
The factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The HCF of 1496,9618 is 2.
Lets's calculate GCF of 1496,9618
| 2 | 1496, 9618 |
| 748, 4809 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1496,9618 By Matching Biggest Common Factor Method
Now, list down the factors of 1496
:1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496
Now, list down the factors of 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Greatest Common Factor
We found the factors 1496,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,9618 is 2.
Lets's calculate LCM of 546,7262
| 2 | 546, 7262 |
| 273, 3631 |
∴ So the LCM of the given numbers is 2 x 273 x 3631 = 1982526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1982526
Therefore, the GCF of Fractions 1496/546,9618/7262 is 2/1982526
Least Common Multiple of 546,7262 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 546,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,7262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,7262) x common factors =2 x 1 = 2
LCM(546,7262) = ( 546 × 7262 ) / 2
LCM(546,7262) = 3965052 / 2
LCM(546,7262) = 1982526
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FAQs on GCF of Fractions of 1496/546, 9618/7262
1. What is the HCF of 1496,9618?
The HCF of 1496,9618 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 1496/546, 9618/7262?
Answer: GCF of Numerators as per given numbers 1496/546, 9618/7262 is
GCF of Numerators i.e. for 1496,9618 is 2
LCM of denominators i.e. for 546,7262 is 1982526.
Thus, GCF of Fractions is 2/1982526.Finally, GCF of Fractions for 1496/546, 9618/7262 is 2/1982526.