GCF of 9362/753, 6655/2374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9362/753, 6655/2374 i.e 1/1787622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9362/753, 6655/2374.
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 9362/753,6655/2374?
Given fractions are 9362/753,6655/2374
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 9362/753,6655/2374, numerators are 9362,6655
Denominators are 753,2374
The GCF of 9362,6655 is 1 .
LCM of 753,2374 is 1787622.
The greatest common factor of 9362/753,6655/2374 = [GCF of 9362,6655]/[LCM of 753,2374]= 1/1787622
Therefore, the GCF of 9362/753,6655/2374 is 1/1787622.
To find the highest common factor of 9362,6655, we have to find the factors of both numbers and list the highest common factor.
The factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The HCF of 9362,6655 is 1.
Lets's calculate GCF of 9362,6655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9362,6655 By Matching Biggest Common Factor Method
Now, list down the factors of 9362
:1,2,31,62,151,302,4681,9362
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Greatest Common Factor
We found the factors 9362,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 9362,6655 is 1.
Lets's calculate LCM of 753,2374
Given numbers has no common factors except 1. So, there LCM is their product i.e 1787622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1787622
Therefore, the GCF of Fractions 9362/753,6655/2374 is 1/1787622
Least Common Multiple of 753,2374 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 753,2374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,2374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,2374) x common factors =1 x 1 = 1
LCM(753,2374) = ( 753 × 2374 ) / 1
LCM(753,2374) = 1787622 / 1
LCM(753,2374) = 1787622
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FAQs on GCF of Fractions of 9362/753, 6655/2374
1. What is the HCF of 9362,6655?
The HCF of 9362,6655 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 9362/753, 6655/2374?
Answer: GCF of Numerators as per given numbers 9362/753, 6655/2374 is
GCF of Numerators i.e. for 9362,6655 is 1
LCM of denominators i.e. for 753,2374 is 1787622.
Thus, GCF of Fractions is 1/1787622.Finally, GCF of Fractions for 9362/753, 6655/2374 is 1/1787622.