GCF of 8873/652, 4370/7672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8873/652, 4370/7672 i.e 19/1250536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8873/652, 4370/7672.
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 8873/652,4370/7672?
Given fractions are 8873/652,4370/7672
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 8873/652,4370/7672, numerators are 8873,4370
Denominators are 652,7672
The GCF of 8873,4370 is 19 .
LCM of 652,7672 is 1250536.
The greatest common factor of 8873/652,4370/7672 = [GCF of 8873,4370]/[LCM of 652,7672]= 19/1250536
Therefore, the GCF of 8873/652,4370/7672 is 19/1250536.
To find the highest common factor of 8873,4370, we have to find the factors of both numbers and list the highest common factor.
The factors of 8873 are 1, 19, 467, 8873
The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370
The HCF of 8873,4370 is 19.
Lets's calculate GCF of 8873,4370
| 19 | 8873, 4370 |
| 467, 230 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8873,4370 By Matching Biggest Common Factor Method
Now, list down the factors of 8873
:1,19,467,8873
Now, list down the factors of 4370
:1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370
Greatest Common Factor
We found the factors 8873,4370 . The biggest common factor number is the GCF number.
So the greatest common factor 8873,4370 is 19.
Lets's calculate LCM of 652,7672
| 2 | 652, 7672 |
| 2 | 326, 3836 |
| 163, 1918 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 1918 = 1250536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1250536
Therefore, the GCF of Fractions 8873/652,4370/7672 is 19/1250536
Least Common Multiple of 652,7672 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 652,7672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,7672) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,7672) x common factors =4 x 1 = 4
LCM(652,7672) = ( 652 × 7672 ) / 4
LCM(652,7672) = 5002144 / 4
LCM(652,7672) = 1250536
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FAQs on GCF of Fractions of 8873/652, 4370/7672
1. What is the HCF of 8873,4370?
The HCF of 8873,4370 is 19
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 8873/652, 4370/7672?
Answer: GCF of Numerators as per given numbers 8873/652, 4370/7672 is
GCF of Numerators i.e. for 8873,4370 is 19
LCM of denominators i.e. for 652,7672 is 1250536.
Thus, GCF of Fractions is 19/1250536.Finally, GCF of Fractions for 8873/652, 4370/7672 is 19/1250536.