GCF of 9278/747, 1442/6769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9278/747, 1442/6769 i.e 2/5056443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9278/747, 1442/6769.
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 9278/747,1442/6769?
Given fractions are 9278/747,1442/6769
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 9278/747,1442/6769, numerators are 9278,1442
Denominators are 747,6769
The GCF of 9278,1442 is 2 .
LCM of 747,6769 is 5056443.
The greatest common factor of 9278/747,1442/6769 = [GCF of 9278,1442]/[LCM of 747,6769]= 2/5056443
Therefore, the GCF of 9278/747,1442/6769 is 2/5056443.
To find the highest common factor of 9278,1442, we have to find the factors of both numbers and list the highest common factor.
The factors of 9278 are 1, 2, 4639, 9278
The factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442
The HCF of 9278,1442 is 2.
Lets's calculate GCF of 9278,1442
| 2 | 9278, 1442 |
| 4639, 721 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9278,1442 By Matching Biggest Common Factor Method
Now, list down the factors of 9278
:1,2,4639,9278
Now, list down the factors of 1442
:1,2,7,14,103,206,721,1442
Greatest Common Factor
We found the factors 9278,1442 . The biggest common factor number is the GCF number.
So the greatest common factor 9278,1442 is 2.
Lets's calculate LCM of 747,6769
Given numbers has no common factors except 1. So, there LCM is their product i.e 5056443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5056443
Therefore, the GCF of Fractions 9278/747,1442/6769 is 2/5056443
Least Common Multiple of 747,6769 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 747,6769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,6769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,6769) x common factors =1 x 1 = 1
LCM(747,6769) = ( 747 × 6769 ) / 1
LCM(747,6769) = 5056443 / 1
LCM(747,6769) = 5056443
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FAQs on GCF of Fractions of 9278/747, 1442/6769
1. What is the HCF of 9278,1442?
The HCF of 9278,1442 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 9278/747, 1442/6769?
Answer: GCF of Numerators as per given numbers 9278/747, 1442/6769 is
GCF of Numerators i.e. for 9278,1442 is 2
LCM of denominators i.e. for 747,6769 is 5056443.
Thus, GCF of Fractions is 2/5056443.Finally, GCF of Fractions for 9278/747, 1442/6769 is 2/5056443.