GCF of 8624/444, 1222/8311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8624/444, 1222/8311 i.e 2/3690084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8624/444, 1222/8311.
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 8624/444,1222/8311?
Given fractions are 8624/444,1222/8311
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 8624/444,1222/8311, numerators are 8624,1222
Denominators are 444,8311
The GCF of 8624,1222 is 2 .
LCM of 444,8311 is 3690084.
The greatest common factor of 8624/444,1222/8311 = [GCF of 8624,1222]/[LCM of 444,8311]= 2/3690084
Therefore, the GCF of 8624/444,1222/8311 is 2/3690084.
To find the highest common factor of 8624,1222, we have to find the factors of both numbers and list the highest common factor.
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222
The HCF of 8624,1222 is 2.
Lets's calculate GCF of 8624,1222
| 2 | 8624, 1222 |
| 4312, 611 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8624,1222 By Matching Biggest Common Factor Method
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Now, list down the factors of 1222
:1,2,13,26,47,94,611,1222
Greatest Common Factor
We found the factors 8624,1222 . The biggest common factor number is the GCF number.
So the greatest common factor 8624,1222 is 2.
Lets's calculate LCM of 444,8311
Given numbers has no common factors except 1. So, there LCM is their product i.e 3690084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3690084
Therefore, the GCF of Fractions 8624/444,1222/8311 is 2/3690084
Least Common Multiple of 444,8311 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 444,8311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,8311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(444,8311) x common factors =1 x 1 = 1
LCM(444,8311) = ( 444 × 8311 ) / 1
LCM(444,8311) = 3690084 / 1
LCM(444,8311) = 3690084
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FAQs on GCF of Fractions of 8624/444, 1222/8311
1. What is the HCF of 8624,1222?
The HCF of 8624,1222 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 8624/444, 1222/8311?
Answer: GCF of Numerators as per given numbers 8624/444, 1222/8311 is
GCF of Numerators i.e. for 8624,1222 is 2
LCM of denominators i.e. for 444,8311 is 3690084.
Thus, GCF of Fractions is 2/3690084.Finally, GCF of Fractions for 8624/444, 1222/8311 is 2/3690084.