GCF of 2496/162, 6772/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2496/162, 6772/548 i.e 4/44388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2496/162, 6772/548.
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 2496/162,6772/548?
Given fractions are 2496/162,6772/548
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 2496/162,6772/548, numerators are 2496,6772
Denominators are 162,548
The GCF of 2496,6772 is 4 .
LCM of 162,548 is 44388.
The greatest common factor of 2496/162,6772/548 = [GCF of 2496,6772]/[LCM of 162,548]= 4/44388
Therefore, the GCF of 2496/162,6772/548 is 4/44388.
To find the highest common factor of 2496,6772, we have to find the factors of both numbers and list the highest common factor.
The factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496
The factors of 6772 are 1, 2, 4, 1693, 3386, 6772
The HCF of 2496,6772 is 4.
Lets's calculate GCF of 2496,6772
| 2 | 2496, 6772 |
| 2 | 1248, 3386 |
| 624, 1693 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2496,6772 By Matching Biggest Common Factor Method
Now, list down the factors of 2496
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Now, list down the factors of 6772
:1,2,4,1693,3386,6772
Greatest Common Factor
We found the factors 2496,6772 . The biggest common factor number is the GCF number.
So the greatest common factor 2496,6772 is 4.
Lets's calculate LCM of 162,548
| 2 | 162, 548 |
| 81, 274 |
∴ So the LCM of the given numbers is 2 x 81 x 274 = 44388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/44388
Therefore, the GCF of Fractions 2496/162,6772/548 is 4/44388
Least Common Multiple of 162,548 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 162,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,548) x common factors =2 x 1 = 2
LCM(162,548) = ( 162 × 548 ) / 2
LCM(162,548) = 88776 / 2
LCM(162,548) = 44388
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FAQs on GCF of Fractions of 2496/162, 6772/548
1. What is the HCF of 2496,6772?
The HCF of 2496,6772 is 4
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 2496/162, 6772/548?
Answer: GCF of Numerators as per given numbers 2496/162, 6772/548 is
GCF of Numerators i.e. for 2496,6772 is 4
LCM of denominators i.e. for 162,548 is 44388.
Thus, GCF of Fractions is 4/44388.Finally, GCF of Fractions for 2496/162, 6772/548 is 4/44388.