GCF of 6487/696, 2976/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6487/696, 2976/420 i.e 1/24360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6487/696, 2976/420.
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 6487/696,2976/420?
Given fractions are 6487/696,2976/420
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 6487/696,2976/420, numerators are 6487,2976
Denominators are 696,420
The GCF of 6487,2976 is 1 .
LCM of 696,420 is 24360.
The greatest common factor of 6487/696,2976/420 = [GCF of 6487,2976]/[LCM of 696,420]= 1/24360
Therefore, the GCF of 6487/696,2976/420 is 1/24360.
To find the highest common factor of 6487,2976, we have to find the factors of both numbers and list the highest common factor.
The factors of 6487 are 1, 13, 499, 6487
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The HCF of 6487,2976 is 1.
Lets's calculate GCF of 6487,2976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6487,2976 By Matching Biggest Common Factor Method
Now, list down the factors of 6487
:1,13,499,6487
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Greatest Common Factor
We found the factors 6487,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 6487,2976 is 1.
Lets's calculate LCM of 696,420
| 2 | 696, 420 |
| 2 | 348, 210 |
| 3 | 174, 105 |
| 58, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 58 x 35 = 24360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24360
Therefore, the GCF of Fractions 6487/696,2976/420 is 1/24360
Least Common Multiple of 696,420 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 696,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,420) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(696,420) x common factors =12 x 1 = 12
LCM(696,420) = ( 696 × 420 ) / 12
LCM(696,420) = 292320 / 12
LCM(696,420) = 24360
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FAQs on GCF of Fractions of 6487/696, 2976/420
1. What is the HCF of 6487,2976?
The HCF of 6487,2976 is 1
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 6487/696, 2976/420?
Answer: GCF of Numerators as per given numbers 6487/696, 2976/420 is
GCF of Numerators i.e. for 6487,2976 is 1
LCM of denominators i.e. for 696,420 is 24360.
Thus, GCF of Fractions is 1/24360.Finally, GCF of Fractions for 6487/696, 2976/420 is 1/24360.