GCF of 6346/565, 4606/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6346/565, 4606/930 i.e 2/105090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6346/565, 4606/930.
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 6346/565,4606/930?
Given fractions are 6346/565,4606/930
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 6346/565,4606/930, numerators are 6346,4606
Denominators are 565,930
The GCF of 6346,4606 is 2 .
LCM of 565,930 is 105090.
The greatest common factor of 6346/565,4606/930 = [GCF of 6346,4606]/[LCM of 565,930]= 2/105090
Therefore, the GCF of 6346/565,4606/930 is 2/105090.
To find the highest common factor of 6346,4606, we have to find the factors of both numbers and list the highest common factor.
The factors of 6346 are 1, 2, 19, 38, 167, 334, 3173, 6346
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The HCF of 6346,4606 is 2.
Lets's calculate GCF of 6346,4606
| 2 | 6346, 4606 |
| 3173, 2303 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6346,4606 By Matching Biggest Common Factor Method
Now, list down the factors of 6346
:1,2,19,38,167,334,3173,6346
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Greatest Common Factor
We found the factors 6346,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 6346,4606 is 2.
Lets's calculate LCM of 565,930
| 5 | 565, 930 |
| 113, 186 |
∴ So the LCM of the given numbers is 5 x 113 x 186 = 105090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105090
Therefore, the GCF of Fractions 6346/565,4606/930 is 2/105090
Least Common Multiple of 565,930 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 565,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,930) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,930) x common factors =5 x 1 = 5
LCM(565,930) = ( 565 × 930 ) / 5
LCM(565,930) = 525450 / 5
LCM(565,930) = 105090
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FAQs on GCF of Fractions of 6346/565, 4606/930
1. What is the HCF of 6346,4606?
The HCF of 6346,4606 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 6346/565, 4606/930?
Answer: GCF of Numerators as per given numbers 6346/565, 4606/930 is
GCF of Numerators i.e. for 6346,4606 is 2
LCM of denominators i.e. for 565,930 is 105090.
Thus, GCF of Fractions is 2/105090.Finally, GCF of Fractions for 6346/565, 4606/930 is 2/105090.