GCF of 8658/615, 3948/5782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8658/615, 3948/5782 i.e 6/3555930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8658/615, 3948/5782.
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 8658/615,3948/5782?
Given fractions are 8658/615,3948/5782
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 8658/615,3948/5782, numerators are 8658,3948
Denominators are 615,5782
The GCF of 8658,3948 is 6 .
LCM of 615,5782 is 3555930.
The greatest common factor of 8658/615,3948/5782 = [GCF of 8658,3948]/[LCM of 615,5782]= 6/3555930
Therefore, the GCF of 8658/615,3948/5782 is 6/3555930.
To find the highest common factor of 8658,3948, we have to find the factors of both numbers and list the highest common factor.
The factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948
The HCF of 8658,3948 is 6.
Lets's calculate GCF of 8658,3948
| 2 | 8658, 3948 |
| 3 | 4329, 1974 |
| 1443, 658 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8658,3948 By Matching Biggest Common Factor Method
Now, list down the factors of 8658
:1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Now, list down the factors of 3948
:1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Greatest Common Factor
We found the factors 8658,3948 . The biggest common factor number is the GCF number.
So the greatest common factor 8658,3948 is 6.
Lets's calculate LCM of 615,5782
Given numbers has no common factors except 1. So, there LCM is their product i.e 3555930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3555930
Therefore, the GCF of Fractions 8658/615,3948/5782 is 6/3555930
Least Common Multiple of 615,5782 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 615,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,5782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,5782) x common factors =1 x 1 = 1
LCM(615,5782) = ( 615 × 5782 ) / 1
LCM(615,5782) = 3555930 / 1
LCM(615,5782) = 3555930
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FAQs on GCF of Fractions of 8658/615, 3948/5782
1. What is the HCF of 8658,3948?
The HCF of 8658,3948 is 6
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 8658/615, 3948/5782?
Answer: GCF of Numerators as per given numbers 8658/615, 3948/5782 is
GCF of Numerators i.e. for 8658,3948 is 6
LCM of denominators i.e. for 615,5782 is 3555930.
Thus, GCF of Fractions is 6/3555930.Finally, GCF of Fractions for 8658/615, 3948/5782 is 6/3555930.