GCF of 7748/968, 6406/8568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7748/968, 6406/8568 i.e 2/1036728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7748/968, 6406/8568.
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 7748/968,6406/8568?
Given fractions are 7748/968,6406/8568
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 7748/968,6406/8568, numerators are 7748,6406
Denominators are 968,8568
The GCF of 7748,6406 is 2 .
LCM of 968,8568 is 1036728.
The greatest common factor of 7748/968,6406/8568 = [GCF of 7748,6406]/[LCM of 968,8568]= 2/1036728
Therefore, the GCF of 7748/968,6406/8568 is 2/1036728.
To find the highest common factor of 7748,6406, we have to find the factors of both numbers and list the highest common factor.
The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748
The factors of 6406 are 1, 2, 3203, 6406
The HCF of 7748,6406 is 2.
Lets's calculate GCF of 7748,6406
| 2 | 7748, 6406 |
| 3874, 3203 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7748,6406 By Matching Biggest Common Factor Method
Now, list down the factors of 7748
:1,2,4,13,26,52,149,298,596,1937,3874,7748
Now, list down the factors of 6406
:1,2,3203,6406
Greatest Common Factor
We found the factors 7748,6406 . The biggest common factor number is the GCF number.
So the greatest common factor 7748,6406 is 2.
Lets's calculate LCM of 968,8568
| 2 | 968, 8568 |
| 2 | 484, 4284 |
| 2 | 242, 2142 |
| 121, 1071 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 1071 = 1036728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1036728
Therefore, the GCF of Fractions 7748/968,6406/8568 is 2/1036728
Least Common Multiple of 968,8568 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 968,8568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,8568) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(968,8568) x common factors =8 x 1 = 8
LCM(968,8568) = ( 968 × 8568 ) / 8
LCM(968,8568) = 8293824 / 8
LCM(968,8568) = 1036728
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FAQs on GCF of Fractions of 7748/968, 6406/8568
1. What is the HCF of 7748,6406?
The HCF of 7748,6406 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 7748/968, 6406/8568?
Answer: GCF of Numerators as per given numbers 7748/968, 6406/8568 is
GCF of Numerators i.e. for 7748,6406 is 2
LCM of denominators i.e. for 968,8568 is 1036728.
Thus, GCF of Fractions is 2/1036728.Finally, GCF of Fractions for 7748/968, 6406/8568 is 2/1036728.