GCF of 7422/895, 6762/8719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7422/895, 6762/8719 i.e 6/7803505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7422/895, 6762/8719.
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 7422/895,6762/8719?
Given fractions are 7422/895,6762/8719
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 7422/895,6762/8719, numerators are 7422,6762
Denominators are 895,8719
The GCF of 7422,6762 is 6 .
LCM of 895,8719 is 7803505.
The greatest common factor of 7422/895,6762/8719 = [GCF of 7422,6762]/[LCM of 895,8719]= 6/7803505
Therefore, the GCF of 7422/895,6762/8719 is 6/7803505.
To find the highest common factor of 7422,6762, we have to find the factors of both numbers and list the highest common factor.
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
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 7422,6762 is 6.
Lets's calculate GCF of 7422,6762
| 2 | 7422, 6762 |
| 3 | 3711, 3381 |
| 1237, 1127 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7422,6762 By Matching Biggest Common Factor Method
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
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 7422,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 7422,6762 is 6.
Lets's calculate LCM of 895,8719
Given numbers has no common factors except 1. So, there LCM is their product i.e 7803505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7803505
Therefore, the GCF of Fractions 7422/895,6762/8719 is 6/7803505
Least Common Multiple of 895,8719 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 895,8719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,8719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,8719) x common factors =1 x 1 = 1
LCM(895,8719) = ( 895 × 8719 ) / 1
LCM(895,8719) = 7803505 / 1
LCM(895,8719) = 7803505
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FAQs on GCF of Fractions of 7422/895, 6762/8719
1. What is the HCF of 7422,6762?
The HCF of 7422,6762 is 6
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 7422/895, 6762/8719?
Answer: GCF of Numerators as per given numbers 7422/895, 6762/8719 is
GCF of Numerators i.e. for 7422,6762 is 6
LCM of denominators i.e. for 895,8719 is 7803505.
Thus, GCF of Fractions is 6/7803505.Finally, GCF of Fractions for 7422/895, 6762/8719 is 6/7803505.