GCF of 7964/750, 6419/3092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7964/750, 6419/3092 i.e 1/1159500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7964/750, 6419/3092.
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 7964/750,6419/3092?
Given fractions are 7964/750,6419/3092
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 7964/750,6419/3092, numerators are 7964,6419
Denominators are 750,3092
The GCF of 7964,6419 is 1 .
LCM of 750,3092 is 1159500.
The greatest common factor of 7964/750,6419/3092 = [GCF of 7964,6419]/[LCM of 750,3092]= 1/1159500
Therefore, the GCF of 7964/750,6419/3092 is 1/1159500.
To find the highest common factor of 7964,6419, we have to find the factors of both numbers and list the highest common factor.
The factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964
The factors of 6419 are 1, 7, 49, 131, 917, 6419
The HCF of 7964,6419 is 1.
Lets's calculate GCF of 7964,6419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7964,6419 By Matching Biggest Common Factor Method
Now, list down the factors of 7964
:1,2,4,11,22,44,181,362,724,1991,3982,7964
Now, list down the factors of 6419
:1,7,49,131,917,6419
Greatest Common Factor
We found the factors 7964,6419 . The biggest common factor number is the GCF number.
So the greatest common factor 7964,6419 is 1.
Lets's calculate LCM of 750,3092
| 2 | 750, 3092 |
| 375, 1546 |
∴ So the LCM of the given numbers is 2 x 375 x 1546 = 1159500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1159500
Therefore, the GCF of Fractions 7964/750,6419/3092 is 1/1159500
Least Common Multiple of 750,3092 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 750,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,3092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,3092) x common factors =2 x 1 = 2
LCM(750,3092) = ( 750 × 3092 ) / 2
LCM(750,3092) = 2319000 / 2
LCM(750,3092) = 1159500
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FAQs on GCF of Fractions of 7964/750, 6419/3092
1. What is the HCF of 7964,6419?
The HCF of 7964,6419 is 1
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 7964/750, 6419/3092?
Answer: GCF of Numerators as per given numbers 7964/750, 6419/3092 is
GCF of Numerators i.e. for 7964,6419 is 1
LCM of denominators i.e. for 750,3092 is 1159500.
Thus, GCF of Fractions is 1/1159500.Finally, GCF of Fractions for 7964/750, 6419/3092 is 1/1159500.