GCF of 1010/578, 6996/5624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1010/578, 6996/5624 i.e 2/1625336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1010/578, 6996/5624.
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 1010/578,6996/5624?
Given fractions are 1010/578,6996/5624
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 1010/578,6996/5624, numerators are 1010,6996
Denominators are 578,5624
The GCF of 1010,6996 is 2 .
LCM of 578,5624 is 1625336.
The greatest common factor of 1010/578,6996/5624 = [GCF of 1010,6996]/[LCM of 578,5624]= 2/1625336
Therefore, the GCF of 1010/578,6996/5624 is 2/1625336.
To find the highest common factor of 1010,6996, we have to find the factors of both numbers and list the highest common factor.
The factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010
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 1010,6996 is 2.
Lets's calculate GCF of 1010,6996
| 2 | 1010, 6996 |
| 505, 3498 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1010,6996 By Matching Biggest Common Factor Method
Now, list down the factors of 1010
:1,2,5,10,101,202,505,1010
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 1010,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,6996 is 2.
Lets's calculate LCM of 578,5624
| 2 | 578, 5624 |
| 289, 2812 |
∴ So the LCM of the given numbers is 2 x 289 x 2812 = 1625336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1625336
Therefore, the GCF of Fractions 1010/578,6996/5624 is 2/1625336
Least Common Multiple of 578,5624 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 578,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,5624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,5624) x common factors =2 x 1 = 2
LCM(578,5624) = ( 578 × 5624 ) / 2
LCM(578,5624) = 3250672 / 2
LCM(578,5624) = 1625336
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FAQs on GCF of Fractions of 1010/578, 6996/5624
1. What is the HCF of 1010,6996?
The HCF of 1010,6996 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 1010/578, 6996/5624?
Answer: GCF of Numerators as per given numbers 1010/578, 6996/5624 is
GCF of Numerators i.e. for 1010,6996 is 2
LCM of denominators i.e. for 578,5624 is 1625336.
Thus, GCF of Fractions is 2/1625336.Finally, GCF of Fractions for 1010/578, 6996/5624 is 2/1625336.