GCF of 7441/696, 6762/2144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7441/696, 6762/2144 i.e 7/186528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7441/696, 6762/2144.
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 7441/696,6762/2144?
Given fractions are 7441/696,6762/2144
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 7441/696,6762/2144, numerators are 7441,6762
Denominators are 696,2144
The GCF of 7441,6762 is 7 .
LCM of 696,2144 is 186528.
The greatest common factor of 7441/696,6762/2144 = [GCF of 7441,6762]/[LCM of 696,2144]= 7/186528
Therefore, the GCF of 7441/696,6762/2144 is 7/186528.
To find the highest common factor of 7441,6762, we have to find the factors of both numbers and list the highest common factor.
The factors of 7441 are 1, 7, 1063, 7441
The factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762
The HCF of 7441,6762 is 7.
Lets's calculate GCF of 7441,6762
| 7 | 7441, 6762 |
| 1063, 966 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7441,6762 By Matching Biggest Common Factor Method
Now, list down the factors of 7441
:1,7,1063,7441
Now, list down the factors of 6762
:1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Greatest Common Factor
We found the factors 7441,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 7441,6762 is 7.
Lets's calculate LCM of 696,2144
| 2 | 696, 2144 |
| 2 | 348, 1072 |
| 2 | 174, 536 |
| 87, 268 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 268 = 186528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/186528
Therefore, the GCF of Fractions 7441/696,6762/2144 is 7/186528
Least Common Multiple of 696,2144 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 696,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,2144) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(696,2144) x common factors =8 x 1 = 8
LCM(696,2144) = ( 696 × 2144 ) / 8
LCM(696,2144) = 1492224 / 8
LCM(696,2144) = 186528
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FAQs on GCF of Fractions of 7441/696, 6762/2144
1. What is the HCF of 7441,6762?
The HCF of 7441,6762 is 7
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 7441/696, 6762/2144?
Answer: GCF of Numerators as per given numbers 7441/696, 6762/2144 is
GCF of Numerators i.e. for 7441,6762 is 7
LCM of denominators i.e. for 696,2144 is 186528.
Thus, GCF of Fractions is 7/186528.Finally, GCF of Fractions for 7441/696, 6762/2144 is 7/186528.