GCF of 716/759, 7584/7410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 716/759, 7584/7410 i.e 4/1874730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/759, 7584/7410.
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 716/759,7584/7410?
Given fractions are 716/759,7584/7410
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 716/759,7584/7410, numerators are 716,7584
Denominators are 759,7410
The GCF of 716,7584 is 4 .
LCM of 759,7410 is 1874730.
The greatest common factor of 716/759,7584/7410 = [GCF of 716,7584]/[LCM of 759,7410]= 4/1874730
Therefore, the GCF of 716/759,7584/7410 is 4/1874730.
To find the highest common factor of 716,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 716 are 1, 2, 4, 179, 358, 716
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 716,7584 is 4.
Lets's calculate GCF of 716,7584
| 2 | 716, 7584 |
| 2 | 358, 3792 |
| 179, 1896 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 716,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 716
:1,2,4,179,358,716
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 716,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 716,7584 is 4.
Lets's calculate LCM of 759,7410
| 3 | 759, 7410 |
| 253, 2470 |
∴ So the LCM of the given numbers is 3 x 253 x 2470 = 1874730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1874730
Therefore, the GCF of Fractions 716/759,7584/7410 is 4/1874730
Least Common Multiple of 759,7410 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 759,7410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,7410) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,7410) x common factors =3 x 1 = 3
LCM(759,7410) = ( 759 × 7410 ) / 3
LCM(759,7410) = 5624190 / 3
LCM(759,7410) = 1874730
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FAQs on GCF of Fractions of 716/759, 7584/7410
1. What is the HCF of 716,7584?
The HCF of 716,7584 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 716/759, 7584/7410?
Answer: GCF of Numerators as per given numbers 716/759, 7584/7410 is
GCF of Numerators i.e. for 716,7584 is 4
LCM of denominators i.e. for 759,7410 is 1874730.
Thus, GCF of Fractions is 4/1874730.Finally, GCF of Fractions for 716/759, 7584/7410 is 4/1874730.