GCF of 6026/698, 6048/6976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6026/698, 6048/6976 i.e 2/2434624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6026/698, 6048/6976.
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 6026/698,6048/6976?
Given fractions are 6026/698,6048/6976
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 6026/698,6048/6976, numerators are 6026,6048
Denominators are 698,6976
The GCF of 6026,6048 is 2 .
LCM of 698,6976 is 2434624.
The greatest common factor of 6026/698,6048/6976 = [GCF of 6026,6048]/[LCM of 698,6976]= 2/2434624
Therefore, the GCF of 6026/698,6048/6976 is 2/2434624.
To find the highest common factor of 6026,6048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048
The HCF of 6026,6048 is 2.
Lets's calculate GCF of 6026,6048
| 2 | 6026, 6048 |
| 3013, 3024 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6026,6048 By Matching Biggest Common Factor Method
Now, list down the factors of 6026
:1,2,23,46,131,262,3013,6026
Now, list down the factors of 6048
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Greatest Common Factor
We found the factors 6026,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 6026,6048 is 2.
Lets's calculate LCM of 698,6976
| 2 | 698, 6976 |
| 349, 3488 |
∴ So the LCM of the given numbers is 2 x 349 x 3488 = 2434624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2434624
Therefore, the GCF of Fractions 6026/698,6048/6976 is 2/2434624
Least Common Multiple of 698,6976 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 698,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,6976) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,6976) x common factors =2 x 1 = 2
LCM(698,6976) = ( 698 × 6976 ) / 2
LCM(698,6976) = 4869248 / 2
LCM(698,6976) = 2434624
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FAQs on GCF of Fractions of 6026/698, 6048/6976
1. What is the HCF of 6026,6048?
The HCF of 6026,6048 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 6026/698, 6048/6976?
Answer: GCF of Numerators as per given numbers 6026/698, 6048/6976 is
GCF of Numerators i.e. for 6026,6048 is 2
LCM of denominators i.e. for 698,6976 is 2434624.
Thus, GCF of Fractions is 2/2434624.Finally, GCF of Fractions for 6026/698, 6048/6976 is 2/2434624.