GCF of 638/610, 8767/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 638/610, 8767/844 i.e 11/257420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/610, 8767/844.
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 638/610,8767/844?
Given fractions are 638/610,8767/844
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 638/610,8767/844, numerators are 638,8767
Denominators are 610,844
The GCF of 638,8767 is 11 .
LCM of 610,844 is 257420.
The greatest common factor of 638/610,8767/844 = [GCF of 638,8767]/[LCM of 610,844]= 11/257420
Therefore, the GCF of 638/610,8767/844 is 11/257420.
To find the highest common factor of 638,8767, we have to find the factors of both numbers and list the highest common factor.
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The factors of 8767 are 1, 11, 797, 8767
The HCF of 638,8767 is 11.
Lets's calculate GCF of 638,8767
| 11 | 638, 8767 |
| 58, 797 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 638,8767 By Matching Biggest Common Factor Method
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Now, list down the factors of 8767
:1,11,797,8767
Greatest Common Factor
We found the factors 638,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 638,8767 is 11.
Lets's calculate LCM of 610,844
| 2 | 610, 844 |
| 305, 422 |
∴ So the LCM of the given numbers is 2 x 305 x 422 = 257420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/257420
Therefore, the GCF of Fractions 638/610,8767/844 is 11/257420
Least Common Multiple of 610,844 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 610,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,844) x common factors =2 x 1 = 2
LCM(610,844) = ( 610 × 844 ) / 2
LCM(610,844) = 514840 / 2
LCM(610,844) = 257420
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FAQs on GCF of Fractions of 638/610, 8767/844
1. What is the HCF of 638,8767?
The HCF of 638,8767 is 11
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 638/610, 8767/844?
Answer: GCF of Numerators as per given numbers 638/610, 8767/844 is
GCF of Numerators i.e. for 638,8767 is 11
LCM of denominators i.e. for 610,844 is 257420.
Thus, GCF of Fractions is 11/257420.Finally, GCF of Fractions for 638/610, 8767/844 is 11/257420.