GCF of 6802/778, 9712/6572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6802/778, 9712/6572 i.e 2/2556508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6802/778, 9712/6572.
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 6802/778,9712/6572?
Given fractions are 6802/778,9712/6572
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 6802/778,9712/6572, numerators are 6802,9712
Denominators are 778,6572
The GCF of 6802,9712 is 2 .
LCM of 778,6572 is 2556508.
The greatest common factor of 6802/778,9712/6572 = [GCF of 6802,9712]/[LCM of 778,6572]= 2/2556508
Therefore, the GCF of 6802/778,9712/6572 is 2/2556508.
To find the highest common factor of 6802,9712, we have to find the factors of both numbers and list the highest common factor.
The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The HCF of 6802,9712 is 2.
Lets's calculate GCF of 6802,9712
| 2 | 6802, 9712 |
| 3401, 4856 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6802,9712 By Matching Biggest Common Factor Method
Now, list down the factors of 6802
:1,2,19,38,179,358,3401,6802
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Greatest Common Factor
We found the factors 6802,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 6802,9712 is 2.
Lets's calculate LCM of 778,6572
| 2 | 778, 6572 |
| 389, 3286 |
∴ So the LCM of the given numbers is 2 x 389 x 3286 = 2556508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2556508
Therefore, the GCF of Fractions 6802/778,9712/6572 is 2/2556508
Least Common Multiple of 778,6572 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 778,6572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,6572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,6572) x common factors =2 x 1 = 2
LCM(778,6572) = ( 778 × 6572 ) / 2
LCM(778,6572) = 5113016 / 2
LCM(778,6572) = 2556508
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FAQs on GCF of Fractions of 6802/778, 9712/6572
1. What is the HCF of 6802,9712?
The HCF of 6802,9712 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 6802/778, 9712/6572?
Answer: GCF of Numerators as per given numbers 6802/778, 9712/6572 is
GCF of Numerators i.e. for 6802,9712 is 2
LCM of denominators i.e. for 778,6572 is 2556508.
Thus, GCF of Fractions is 2/2556508.Finally, GCF of Fractions for 6802/778, 9712/6572 is 2/2556508.