GCF of 1008/224, 6995/2524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1008/224, 6995/2524 i.e 1/141344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1008/224, 6995/2524.
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 1008/224,6995/2524?
Given fractions are 1008/224,6995/2524
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 1008/224,6995/2524, numerators are 1008,6995
Denominators are 224,2524
The GCF of 1008,6995 is 1 .
LCM of 224,2524 is 141344.
The greatest common factor of 1008/224,6995/2524 = [GCF of 1008,6995]/[LCM of 224,2524]= 1/141344
Therefore, the GCF of 1008/224,6995/2524 is 1/141344.
To find the highest common factor of 1008,6995, we have to find the factors of both numbers and list the highest common factor.
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
The factors of 6995 are 1, 5, 1399, 6995
The HCF of 1008,6995 is 1.
Lets's calculate GCF of 1008,6995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1008,6995 By Matching Biggest Common Factor Method
Now, list down the factors of 1008
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Now, list down the factors of 6995
:1,5,1399,6995
Greatest Common Factor
We found the factors 1008,6995 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,6995 is 1.
Lets's calculate LCM of 224,2524
| 2 | 224, 2524 |
| 2 | 112, 1262 |
| 56, 631 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 631 = 141344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141344
Therefore, the GCF of Fractions 1008/224,6995/2524 is 1/141344
Least Common Multiple of 224,2524 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 224,2524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,2524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,2524) x common factors =4 x 1 = 4
LCM(224,2524) = ( 224 × 2524 ) / 4
LCM(224,2524) = 565376 / 4
LCM(224,2524) = 141344
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1008/224, 6995/2524
1. What is the HCF of 1008,6995?
The HCF of 1008,6995 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 1008/224, 6995/2524?
Answer: GCF of Numerators as per given numbers 1008/224, 6995/2524 is
GCF of Numerators i.e. for 1008,6995 is 1
LCM of denominators i.e. for 224,2524 is 141344.
Thus, GCF of Fractions is 1/141344.Finally, GCF of Fractions for 1008/224, 6995/2524 is 1/141344.