GCF of 1456/691, 2088/2407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1456/691, 2088/2407 i.e 8/1663237 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1456/691, 2088/2407.
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 1456/691,2088/2407?
Given fractions are 1456/691,2088/2407
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 1456/691,2088/2407, numerators are 1456,2088
Denominators are 691,2407
The GCF of 1456,2088 is 8 .
LCM of 691,2407 is 1663237.
The greatest common factor of 1456/691,2088/2407 = [GCF of 1456,2088]/[LCM of 691,2407]= 8/1663237
Therefore, the GCF of 1456/691,2088/2407 is 8/1663237.
To find the highest common factor of 1456,2088, we have to find the factors of both numbers and list the highest common factor.
The factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456
The factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088
The HCF of 1456,2088 is 8.
Lets's calculate GCF of 1456,2088
| 2 | 1456, 2088 |
| 2 | 728, 1044 |
| 2 | 364, 522 |
| 182, 261 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1456,2088 By Matching Biggest Common Factor Method
Now, list down the factors of 1456
:1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456
Now, list down the factors of 2088
:1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Greatest Common Factor
We found the factors 1456,2088 . The biggest common factor number is the GCF number.
So the greatest common factor 1456,2088 is 8.
Lets's calculate LCM of 691,2407
Given numbers has no common factors except 1. So, there LCM is their product i.e 1663237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1663237
Therefore, the GCF of Fractions 1456/691,2088/2407 is 8/1663237
Least Common Multiple of 691,2407 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 691,2407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,2407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,2407) x common factors =1 x 1 = 1
LCM(691,2407) = ( 691 × 2407 ) / 1
LCM(691,2407) = 1663237 / 1
LCM(691,2407) = 1663237
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FAQs on GCF of Fractions of 1456/691, 2088/2407
1. What is the HCF of 1456,2088?
The HCF of 1456,2088 is 8
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 1456/691, 2088/2407?
Answer: GCF of Numerators as per given numbers 1456/691, 2088/2407 is
GCF of Numerators i.e. for 1456,2088 is 8
LCM of denominators i.e. for 691,2407 is 1663237.
Thus, GCF of Fractions is 8/1663237.Finally, GCF of Fractions for 1456/691, 2088/2407 is 8/1663237.