GCF of 6424/750, 5976/8727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6424/750, 5976/8727 i.e 8/2181750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6424/750, 5976/8727.
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 6424/750,5976/8727?
Given fractions are 6424/750,5976/8727
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 6424/750,5976/8727, numerators are 6424,5976
Denominators are 750,8727
The GCF of 6424,5976 is 8 .
LCM of 750,8727 is 2181750.
The greatest common factor of 6424/750,5976/8727 = [GCF of 6424,5976]/[LCM of 750,8727]= 8/2181750
Therefore, the GCF of 6424/750,5976/8727 is 8/2181750.
To find the highest common factor of 6424,5976, we have to find the factors of both numbers and list the highest common factor.
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976
The HCF of 6424,5976 is 8.
Lets's calculate GCF of 6424,5976
| 2 | 6424, 5976 |
| 2 | 3212, 2988 |
| 2 | 1606, 1494 |
| 803, 747 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6424,5976 By Matching Biggest Common Factor Method
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Now, list down the factors of 5976
:1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Greatest Common Factor
We found the factors 6424,5976 . The biggest common factor number is the GCF number.
So the greatest common factor 6424,5976 is 8.
Lets's calculate LCM of 750,8727
| 3 | 750, 8727 |
| 250, 2909 |
∴ So the LCM of the given numbers is 3 x 250 x 2909 = 2181750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2181750
Therefore, the GCF of Fractions 6424/750,5976/8727 is 8/2181750
Least Common Multiple of 750,8727 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 750,8727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,8727) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(750,8727) x common factors =3 x 1 = 3
LCM(750,8727) = ( 750 × 8727 ) / 3
LCM(750,8727) = 6545250 / 3
LCM(750,8727) = 2181750
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FAQs on GCF of Fractions of 6424/750, 5976/8727
1. What is the HCF of 6424,5976?
The HCF of 6424,5976 is 8
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 6424/750, 5976/8727?
Answer: GCF of Numerators as per given numbers 6424/750, 5976/8727 is
GCF of Numerators i.e. for 6424,5976 is 8
LCM of denominators i.e. for 750,8727 is 2181750.
Thus, GCF of Fractions is 8/2181750.Finally, GCF of Fractions for 6424/750, 5976/8727 is 8/2181750.