GCF of 8156/624, 2862/5073
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8156/624, 2862/5073 i.e 2/1055184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8156/624, 2862/5073.
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 8156/624,2862/5073?
Given fractions are 8156/624,2862/5073
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 8156/624,2862/5073, numerators are 8156,2862
Denominators are 624,5073
The GCF of 8156,2862 is 2 .
LCM of 624,5073 is 1055184.
The greatest common factor of 8156/624,2862/5073 = [GCF of 8156,2862]/[LCM of 624,5073]= 2/1055184
Therefore, the GCF of 8156/624,2862/5073 is 2/1055184.
To find the highest common factor of 8156,2862, we have to find the factors of both numbers and list the highest common factor.
The factors of 8156 are 1, 2, 4, 2039, 4078, 8156
The factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862
The HCF of 8156,2862 is 2.
Lets's calculate GCF of 8156,2862
| 2 | 8156, 2862 |
| 4078, 1431 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8156,2862 By Matching Biggest Common Factor Method
Now, list down the factors of 8156
:1,2,4,2039,4078,8156
Now, list down the factors of 2862
:1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862
Greatest Common Factor
We found the factors 8156,2862 . The biggest common factor number is the GCF number.
So the greatest common factor 8156,2862 is 2.
Lets's calculate LCM of 624,5073
| 3 | 624, 5073 |
| 208, 1691 |
∴ So the LCM of the given numbers is 3 x 208 x 1691 = 1055184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1055184
Therefore, the GCF of Fractions 8156/624,2862/5073 is 2/1055184
Least Common Multiple of 624,5073 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 624,5073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5073) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5073) x common factors =3 x 1 = 3
LCM(624,5073) = ( 624 × 5073 ) / 3
LCM(624,5073) = 3165552 / 3
LCM(624,5073) = 1055184
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FAQs on GCF of Fractions of 8156/624, 2862/5073
1. What is the HCF of 8156,2862?
The HCF of 8156,2862 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 8156/624, 2862/5073?
Answer: GCF of Numerators as per given numbers 8156/624, 2862/5073 is
GCF of Numerators i.e. for 8156,2862 is 2
LCM of denominators i.e. for 624,5073 is 1055184.
Thus, GCF of Fractions is 2/1055184.Finally, GCF of Fractions for 8156/624, 2862/5073 is 2/1055184.