GCF of 7538/546, 6996/664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7538/546, 6996/664 i.e 2/181272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7538/546, 6996/664.
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 7538/546,6996/664?
Given fractions are 7538/546,6996/664
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 7538/546,6996/664, numerators are 7538,6996
Denominators are 546,664
The GCF of 7538,6996 is 2 .
LCM of 546,664 is 181272.
The greatest common factor of 7538/546,6996/664 = [GCF of 7538,6996]/[LCM of 546,664]= 2/181272
Therefore, the GCF of 7538/546,6996/664 is 2/181272.
To find the highest common factor of 7538,6996, we have to find the factors of both numbers and list the highest common factor.
The factors of 7538 are 1, 2, 3769, 7538
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The HCF of 7538,6996 is 2.
Lets's calculate GCF of 7538,6996
| 2 | 7538, 6996 |
| 3769, 3498 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7538,6996 By Matching Biggest Common Factor Method
Now, list down the factors of 7538
:1,2,3769,7538
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 7538,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 7538,6996 is 2.
Lets's calculate LCM of 546,664
| 2 | 546, 664 |
| 273, 332 |
∴ So the LCM of the given numbers is 2 x 273 x 332 = 181272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181272
Therefore, the GCF of Fractions 7538/546,6996/664 is 2/181272
Least Common Multiple of 546,664 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 546,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,664) x common factors =2 x 1 = 2
LCM(546,664) = ( 546 × 664 ) / 2
LCM(546,664) = 362544 / 2
LCM(546,664) = 181272
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FAQs on GCF of Fractions of 7538/546, 6996/664
1. What is the HCF of 7538,6996?
The HCF of 7538,6996 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 7538/546, 6996/664?
Answer: GCF of Numerators as per given numbers 7538/546, 6996/664 is
GCF of Numerators i.e. for 7538,6996 is 2
LCM of denominators i.e. for 546,664 is 181272.
Thus, GCF of Fractions is 2/181272.Finally, GCF of Fractions for 7538/546, 6996/664 is 2/181272.