GCF of 7456/234, 5970/6584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7456/234, 5970/6584 i.e 2/770328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7456/234, 5970/6584.
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 7456/234,5970/6584?
Given fractions are 7456/234,5970/6584
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 7456/234,5970/6584, numerators are 7456,5970
Denominators are 234,6584
The GCF of 7456,5970 is 2 .
LCM of 234,6584 is 770328.
The greatest common factor of 7456/234,5970/6584 = [GCF of 7456,5970]/[LCM of 234,6584]= 2/770328
Therefore, the GCF of 7456/234,5970/6584 is 2/770328.
To find the highest common factor of 7456,5970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7456 are 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The HCF of 7456,5970 is 2.
Lets's calculate GCF of 7456,5970
| 2 | 7456, 5970 |
| 3728, 2985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7456,5970 By Matching Biggest Common Factor Method
Now, list down the factors of 7456
:1,2,4,8,16,32,233,466,932,1864,3728,7456
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 7456,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 7456,5970 is 2.
Lets's calculate LCM of 234,6584
| 2 | 234, 6584 |
| 117, 3292 |
∴ So the LCM of the given numbers is 2 x 117 x 3292 = 770328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/770328
Therefore, the GCF of Fractions 7456/234,5970/6584 is 2/770328
Least Common Multiple of 234,6584 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 234,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,6584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,6584) x common factors =2 x 1 = 2
LCM(234,6584) = ( 234 × 6584 ) / 2
LCM(234,6584) = 1540656 / 2
LCM(234,6584) = 770328
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FAQs on GCF of Fractions of 7456/234, 5970/6584
1. What is the HCF of 7456,5970?
The HCF of 7456,5970 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 7456/234, 5970/6584?
Answer: GCF of Numerators as per given numbers 7456/234, 5970/6584 is
GCF of Numerators i.e. for 7456,5970 is 2
LCM of denominators i.e. for 234,6584 is 770328.
Thus, GCF of Fractions is 2/770328.Finally, GCF of Fractions for 7456/234, 5970/6584 is 2/770328.