GCF of 6620/667, 7648/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6620/667, 7648/168 i.e 4/112056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6620/667, 7648/168.
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 6620/667,7648/168?
Given fractions are 6620/667,7648/168
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 6620/667,7648/168, numerators are 6620,7648
Denominators are 667,168
The GCF of 6620,7648 is 4 .
LCM of 667,168 is 112056.
The greatest common factor of 6620/667,7648/168 = [GCF of 6620,7648]/[LCM of 667,168]= 4/112056
Therefore, the GCF of 6620/667,7648/168 is 4/112056.
To find the highest common factor of 6620,7648, we have to find the factors of both numbers and list the highest common factor.
The factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620
The factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648
The HCF of 6620,7648 is 4.
Lets's calculate GCF of 6620,7648
| 2 | 6620, 7648 |
| 2 | 3310, 3824 |
| 1655, 1912 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6620,7648 By Matching Biggest Common Factor Method
Now, list down the factors of 6620
:1,2,4,5,10,20,331,662,1324,1655,3310,6620
Now, list down the factors of 7648
:1,2,4,8,16,32,239,478,956,1912,3824,7648
Greatest Common Factor
We found the factors 6620,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 6620,7648 is 4.
Lets's calculate LCM of 667,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 112056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/112056
Therefore, the GCF of Fractions 6620/667,7648/168 is 4/112056
Least Common Multiple of 667,168 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 667,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,168) x common factors =1 x 1 = 1
LCM(667,168) = ( 667 × 168 ) / 1
LCM(667,168) = 112056 / 1
LCM(667,168) = 112056
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FAQs on GCF of Fractions of 6620/667, 7648/168
1. What is the HCF of 6620,7648?
The HCF of 6620,7648 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 6620/667, 7648/168?
Answer: GCF of Numerators as per given numbers 6620/667, 7648/168 is
GCF of Numerators i.e. for 6620,7648 is 4
LCM of denominators i.e. for 667,168 is 112056.
Thus, GCF of Fractions is 4/112056.Finally, GCF of Fractions for 6620/667, 7648/168 is 4/112056.