GCF of 4452/870, 9624/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4452/870, 9624/311 i.e 12/270570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4452/870, 9624/311.
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 4452/870,9624/311?
Given fractions are 4452/870,9624/311
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 4452/870,9624/311, numerators are 4452,9624
Denominators are 870,311
The GCF of 4452,9624 is 12 .
LCM of 870,311 is 270570.
The greatest common factor of 4452/870,9624/311 = [GCF of 4452,9624]/[LCM of 870,311]= 12/270570
Therefore, the GCF of 4452/870,9624/311 is 12/270570.
To find the highest common factor of 4452,9624, we have to find the factors of both numbers and list the highest common factor.
The factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452
The factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624
The HCF of 4452,9624 is 12.
Lets's calculate GCF of 4452,9624
| 2 | 4452, 9624 |
| 2 | 2226, 4812 |
| 3 | 1113, 2406 |
| 371, 802 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4452,9624 By Matching Biggest Common Factor Method
Now, list down the factors of 4452
:1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Now, list down the factors of 9624
:1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624
Greatest Common Factor
We found the factors 4452,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,9624 is 12.
Lets's calculate LCM of 870,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 270570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/270570
Therefore, the GCF of Fractions 4452/870,9624/311 is 12/270570
Least Common Multiple of 870,311 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 870,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(870,311) x common factors =1 x 1 = 1
LCM(870,311) = ( 870 × 311 ) / 1
LCM(870,311) = 270570 / 1
LCM(870,311) = 270570
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FAQs on GCF of Fractions of 4452/870, 9624/311
1. What is the HCF of 4452,9624?
The HCF of 4452,9624 is 12
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 4452/870, 9624/311?
Answer: GCF of Numerators as per given numbers 4452/870, 9624/311 is
GCF of Numerators i.e. for 4452,9624 is 12
LCM of denominators i.e. for 870,311 is 270570.
Thus, GCF of Fractions is 12/270570.Finally, GCF of Fractions for 4452/870, 9624/311 is 12/270570.