GCF of 7904/164, 6590/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7904/164, 6590/970 i.e 2/79540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7904/164, 6590/970.
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 7904/164,6590/970?
Given fractions are 7904/164,6590/970
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 7904/164,6590/970, numerators are 7904,6590
Denominators are 164,970
The GCF of 7904,6590 is 2 .
LCM of 164,970 is 79540.
The greatest common factor of 7904/164,6590/970 = [GCF of 7904,6590]/[LCM of 164,970]= 2/79540
Therefore, the GCF of 7904/164,6590/970 is 2/79540.
To find the highest common factor of 7904,6590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590
The HCF of 7904,6590 is 2.
Lets's calculate GCF of 7904,6590
| 2 | 7904, 6590 |
| 3952, 3295 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7904,6590 By Matching Biggest Common Factor Method
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Now, list down the factors of 6590
:1,2,5,10,659,1318,3295,6590
Greatest Common Factor
We found the factors 7904,6590 . The biggest common factor number is the GCF number.
So the greatest common factor 7904,6590 is 2.
Lets's calculate LCM of 164,970
| 2 | 164, 970 |
| 82, 485 |
∴ So the LCM of the given numbers is 2 x 82 x 485 = 79540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79540
Therefore, the GCF of Fractions 7904/164,6590/970 is 2/79540
Least Common Multiple of 164,970 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 164,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,970) x common factors =2 x 1 = 2
LCM(164,970) = ( 164 × 970 ) / 2
LCM(164,970) = 159080 / 2
LCM(164,970) = 79540
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FAQs on GCF of Fractions of 7904/164, 6590/970
1. What is the HCF of 7904,6590?
The HCF of 7904,6590 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 7904/164, 6590/970?
Answer: GCF of Numerators as per given numbers 7904/164, 6590/970 is
GCF of Numerators i.e. for 7904,6590 is 2
LCM of denominators i.e. for 164,970 is 79540.
Thus, GCF of Fractions is 2/79540.Finally, GCF of Fractions for 7904/164, 6590/970 is 2/79540.