GCF of 6778/718, 4426/3202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6778/718, 4426/3202 i.e 2/1149518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6778/718, 4426/3202.
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 6778/718,4426/3202?
Given fractions are 6778/718,4426/3202
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 6778/718,4426/3202, numerators are 6778,4426
Denominators are 718,3202
The GCF of 6778,4426 is 2 .
LCM of 718,3202 is 1149518.
The greatest common factor of 6778/718,4426/3202 = [GCF of 6778,4426]/[LCM of 718,3202]= 2/1149518
Therefore, the GCF of 6778/718,4426/3202 is 2/1149518.
To find the highest common factor of 6778,4426, we have to find the factors of both numbers and list the highest common factor.
The factors of 6778 are 1, 2, 3389, 6778
The factors of 4426 are 1, 2, 2213, 4426
The HCF of 6778,4426 is 2.
Lets's calculate GCF of 6778,4426
| 2 | 6778, 4426 |
| 3389, 2213 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6778,4426 By Matching Biggest Common Factor Method
Now, list down the factors of 6778
:1,2,3389,6778
Now, list down the factors of 4426
:1,2,2213,4426
Greatest Common Factor
We found the factors 6778,4426 . The biggest common factor number is the GCF number.
So the greatest common factor 6778,4426 is 2.
Lets's calculate LCM of 718,3202
| 2 | 718, 3202 |
| 359, 1601 |
∴ So the LCM of the given numbers is 2 x 359 x 1601 = 1149518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1149518
Therefore, the GCF of Fractions 6778/718,4426/3202 is 2/1149518
Least Common Multiple of 718,3202 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 718,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,3202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,3202) x common factors =2 x 1 = 2
LCM(718,3202) = ( 718 × 3202 ) / 2
LCM(718,3202) = 2299036 / 2
LCM(718,3202) = 1149518
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FAQs on GCF of Fractions of 6778/718, 4426/3202
1. What is the HCF of 6778,4426?
The HCF of 6778,4426 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 6778/718, 4426/3202?
Answer: GCF of Numerators as per given numbers 6778/718, 4426/3202 is
GCF of Numerators i.e. for 6778,4426 is 2
LCM of denominators i.e. for 718,3202 is 1149518.
Thus, GCF of Fractions is 2/1149518.Finally, GCF of Fractions for 6778/718, 4426/3202 is 2/1149518.