GCF of 1712/624, 6228/555
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1712/624, 6228/555 i.e 4/115440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1712/624, 6228/555.
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 1712/624,6228/555?
Given fractions are 1712/624,6228/555
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 1712/624,6228/555, numerators are 1712,6228
Denominators are 624,555
The GCF of 1712,6228 is 4 .
LCM of 624,555 is 115440.
The greatest common factor of 1712/624,6228/555 = [GCF of 1712,6228]/[LCM of 624,555]= 4/115440
Therefore, the GCF of 1712/624,6228/555 is 4/115440.
To find the highest common factor of 1712,6228, we have to find the factors of both numbers and list the highest common factor.
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228
The HCF of 1712,6228 is 4.
Lets's calculate GCF of 1712,6228
| 2 | 1712, 6228 |
| 2 | 856, 3114 |
| 428, 1557 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1712,6228 By Matching Biggest Common Factor Method
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Now, list down the factors of 6228
:1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228
Greatest Common Factor
We found the factors 1712,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 1712,6228 is 4.
Lets's calculate LCM of 624,555
| 3 | 624, 555 |
| 208, 185 |
∴ So the LCM of the given numbers is 3 x 208 x 185 = 115440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/115440
Therefore, the GCF of Fractions 1712/624,6228/555 is 4/115440
Least Common Multiple of 624,555 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 624,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,555) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,555) x common factors =3 x 1 = 3
LCM(624,555) = ( 624 × 555 ) / 3
LCM(624,555) = 346320 / 3
LCM(624,555) = 115440
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FAQs on GCF of Fractions of 1712/624, 6228/555
1. What is the HCF of 1712,6228?
The HCF of 1712,6228 is 4
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 1712/624, 6228/555?
Answer: GCF of Numerators as per given numbers 1712/624, 6228/555 is
GCF of Numerators i.e. for 1712,6228 is 4
LCM of denominators i.e. for 624,555 is 115440.
Thus, GCF of Fractions is 4/115440.Finally, GCF of Fractions for 1712/624, 6228/555 is 4/115440.