GCF of 2624/402, 8672/3222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2624/402, 8672/3222 i.e 32/215874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2624/402, 8672/3222.
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 2624/402,8672/3222?
Given fractions are 2624/402,8672/3222
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 2624/402,8672/3222, numerators are 2624,8672
Denominators are 402,3222
The GCF of 2624,8672 is 32 .
LCM of 402,3222 is 215874.
The greatest common factor of 2624/402,8672/3222 = [GCF of 2624,8672]/[LCM of 402,3222]= 32/215874
Therefore, the GCF of 2624/402,8672/3222 is 32/215874.
To find the highest common factor of 2624,8672, we have to find the factors of both numbers and list the highest common factor.
The factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624
The factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
The HCF of 2624,8672 is 32.
Lets's calculate GCF of 2624,8672
| 2 | 2624, 8672 |
| 2 | 1312, 4336 |
| 2 | 656, 2168 |
| 2 | 328, 1084 |
| 2 | 164, 542 |
| 82, 271 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 2624,8672 By Matching Biggest Common Factor Method
Now, list down the factors of 2624
:1,2,4,8,16,32,41,64,82,164,328,656,1312,2624
Now, list down the factors of 8672
:1,2,4,8,16,32,271,542,1084,2168,4336,8672
Greatest Common Factor
We found the factors 2624,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 2624,8672 is 32.
Lets's calculate LCM of 402,3222
| 2 | 402, 3222 |
| 3 | 201, 1611 |
| 67, 537 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 537 = 215874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/215874
Therefore, the GCF of Fractions 2624/402,8672/3222 is 32/215874
Least Common Multiple of 402,3222 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 402,3222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,3222) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,3222) x common factors =6 x 1 = 6
LCM(402,3222) = ( 402 × 3222 ) / 6
LCM(402,3222) = 1295244 / 6
LCM(402,3222) = 215874
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FAQs on GCF of Fractions of 2624/402, 8672/3222
1. What is the HCF of 2624,8672?
The HCF of 2624,8672 is 32
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 2624/402, 8672/3222?
Answer: GCF of Numerators as per given numbers 2624/402, 8672/3222 is
GCF of Numerators i.e. for 2624,8672 is 32
LCM of denominators i.e. for 402,3222 is 215874.
Thus, GCF of Fractions is 32/215874.Finally, GCF of Fractions for 2624/402, 8672/3222 is 32/215874.