GCF of 8842/714, 8432/7942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8842/714, 8432/7942 i.e 2/2835294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8842/714, 8432/7942.
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 8842/714,8432/7942?
Given fractions are 8842/714,8432/7942
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 8842/714,8432/7942, numerators are 8842,8432
Denominators are 714,7942
The GCF of 8842,8432 is 2 .
LCM of 714,7942 is 2835294.
The greatest common factor of 8842/714,8432/7942 = [GCF of 8842,8432]/[LCM of 714,7942]= 2/2835294
Therefore, the GCF of 8842/714,8432/7942 is 2/2835294.
To find the highest common factor of 8842,8432, we have to find the factors of both numbers and list the highest common factor.
The factors of 8842 are 1, 2, 4421, 8842
The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432
The HCF of 8842,8432 is 2.
Lets's calculate GCF of 8842,8432
| 2 | 8842, 8432 |
| 4421, 4216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8842,8432 By Matching Biggest Common Factor Method
Now, list down the factors of 8842
:1,2,4421,8842
Now, list down the factors of 8432
:1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Greatest Common Factor
We found the factors 8842,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 8842,8432 is 2.
Lets's calculate LCM of 714,7942
| 2 | 714, 7942 |
| 357, 3971 |
∴ So the LCM of the given numbers is 2 x 357 x 3971 = 2835294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2835294
Therefore, the GCF of Fractions 8842/714,8432/7942 is 2/2835294
Least Common Multiple of 714,7942 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 714,7942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,7942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,7942) x common factors =2 x 1 = 2
LCM(714,7942) = ( 714 × 7942 ) / 2
LCM(714,7942) = 5670588 / 2
LCM(714,7942) = 2835294
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FAQs on GCF of Fractions of 8842/714, 8432/7942
1. What is the HCF of 8842,8432?
The HCF of 8842,8432 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 8842/714, 8432/7942?
Answer: GCF of Numerators as per given numbers 8842/714, 8432/7942 is
GCF of Numerators i.e. for 8842,8432 is 2
LCM of denominators i.e. for 714,7942 is 2835294.
Thus, GCF of Fractions is 2/2835294.Finally, GCF of Fractions for 8842/714, 8432/7942 is 2/2835294.