GCF of 7122/646, 4707/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7122/646, 4707/408 i.e 3/7752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7122/646, 4707/408.
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 7122/646,4707/408?
Given fractions are 7122/646,4707/408
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 7122/646,4707/408, numerators are 7122,4707
Denominators are 646,408
The GCF of 7122,4707 is 3 .
LCM of 646,408 is 7752.
The greatest common factor of 7122/646,4707/408 = [GCF of 7122,4707]/[LCM of 646,408]= 3/7752
Therefore, the GCF of 7122/646,4707/408 is 3/7752.
To find the highest common factor of 7122,4707, we have to find the factors of both numbers and list the highest common factor.
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The factors of 4707 are 1, 3, 9, 523, 1569, 4707
The HCF of 7122,4707 is 3.
Lets's calculate GCF of 7122,4707
| 3 | 7122, 4707 |
| 2374, 1569 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7122,4707 By Matching Biggest Common Factor Method
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Now, list down the factors of 4707
:1,3,9,523,1569,4707
Greatest Common Factor
We found the factors 7122,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 7122,4707 is 3.
Lets's calculate LCM of 646,408
| 2 | 646, 408 |
| 17 | 323, 204 |
| 19, 12 |
∴ So the LCM of the given numbers is 2 x 17 x 19 x 12 = 7752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7752
Therefore, the GCF of Fractions 7122/646,4707/408 is 3/7752
Least Common Multiple of 646,408 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 646,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,408) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(646,408) x common factors =34 x 1 = 34
LCM(646,408) = ( 646 × 408 ) / 34
LCM(646,408) = 263568 / 34
LCM(646,408) = 7752
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FAQs on GCF of Fractions of 7122/646, 4707/408
1. What is the HCF of 7122,4707?
The HCF of 7122,4707 is 3
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 7122/646, 4707/408?
Answer: GCF of Numerators as per given numbers 7122/646, 4707/408 is
GCF of Numerators i.e. for 7122,4707 is 3
LCM of denominators i.e. for 646,408 is 7752.
Thus, GCF of Fractions is 3/7752.Finally, GCF of Fractions for 7122/646, 4707/408 is 3/7752.