GCF of 6259/624, 7888/3289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6259/624, 7888/3289 i.e 1/157872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6259/624, 7888/3289.
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 6259/624,7888/3289?
Given fractions are 6259/624,7888/3289
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 6259/624,7888/3289, numerators are 6259,7888
Denominators are 624,3289
The GCF of 6259,7888 is 1 .
LCM of 624,3289 is 157872.
The greatest common factor of 6259/624,7888/3289 = [GCF of 6259,7888]/[LCM of 624,3289]= 1/157872
Therefore, the GCF of 6259/624,7888/3289 is 1/157872.
To find the highest common factor of 6259,7888, we have to find the factors of both numbers and list the highest common factor.
The factors of 6259 are 1, 11, 569, 6259
The factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888
The HCF of 6259,7888 is 1.
Lets's calculate GCF of 6259,7888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6259,7888 By Matching Biggest Common Factor Method
Now, list down the factors of 6259
:1,11,569,6259
Now, list down the factors of 7888
:1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Greatest Common Factor
We found the factors 6259,7888 . The biggest common factor number is the GCF number.
So the greatest common factor 6259,7888 is 1.
Lets's calculate LCM of 624,3289
| 13 | 624, 3289 |
| 48, 253 |
∴ So the LCM of the given numbers is 13 x 48 x 253 = 157872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157872
Therefore, the GCF of Fractions 6259/624,7888/3289 is 1/157872
Least Common Multiple of 624,3289 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 624,3289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,3289) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(624,3289) x common factors =13 x 1 = 13
LCM(624,3289) = ( 624 × 3289 ) / 13
LCM(624,3289) = 2052336 / 13
LCM(624,3289) = 157872
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FAQs on GCF of Fractions of 6259/624, 7888/3289
1. What is the HCF of 6259,7888?
The HCF of 6259,7888 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 6259/624, 7888/3289?
Answer: GCF of Numerators as per given numbers 6259/624, 7888/3289 is
GCF of Numerators i.e. for 6259,7888 is 1
LCM of denominators i.e. for 624,3289 is 157872.
Thus, GCF of Fractions is 1/157872.Finally, GCF of Fractions for 6259/624, 7888/3289 is 1/157872.