GCF of 1768/222, 7734/6359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1768/222, 7734/6359 i.e 2/1411698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1768/222, 7734/6359.
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 1768/222,7734/6359?
Given fractions are 1768/222,7734/6359
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 1768/222,7734/6359, numerators are 1768,7734
Denominators are 222,6359
The GCF of 1768,7734 is 2 .
LCM of 222,6359 is 1411698.
The greatest common factor of 1768/222,7734/6359 = [GCF of 1768,7734]/[LCM of 222,6359]= 2/1411698
Therefore, the GCF of 1768/222,7734/6359 is 2/1411698.
To find the highest common factor of 1768,7734, we have to find the factors of both numbers and list the highest common factor.
The factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768
The factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734
The HCF of 1768,7734 is 2.
Lets's calculate GCF of 1768,7734
| 2 | 1768, 7734 |
| 884, 3867 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1768,7734 By Matching Biggest Common Factor Method
Now, list down the factors of 1768
:1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768
Now, list down the factors of 7734
:1,2,3,6,1289,2578,3867,7734
Greatest Common Factor
We found the factors 1768,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 1768,7734 is 2.
Lets's calculate LCM of 222,6359
Given numbers has no common factors except 1. So, there LCM is their product i.e 1411698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1411698
Therefore, the GCF of Fractions 1768/222,7734/6359 is 2/1411698
Least Common Multiple of 222,6359 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 222,6359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,6359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,6359) x common factors =1 x 1 = 1
LCM(222,6359) = ( 222 × 6359 ) / 1
LCM(222,6359) = 1411698 / 1
LCM(222,6359) = 1411698
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FAQs on GCF of Fractions of 1768/222, 7734/6359
1. What is the HCF of 1768,7734?
The HCF of 1768,7734 is 2
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 1768/222, 7734/6359?
Answer: GCF of Numerators as per given numbers 1768/222, 7734/6359 is
GCF of Numerators i.e. for 1768,7734 is 2
LCM of denominators i.e. for 222,6359 is 1411698.
Thus, GCF of Fractions is 2/1411698.Finally, GCF of Fractions for 1768/222, 7734/6359 is 2/1411698.