GCF of 4352/665, 9892/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4352/665, 9892/767 i.e 4/510055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4352/665, 9892/767.
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 4352/665,9892/767?
Given fractions are 4352/665,9892/767
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 4352/665,9892/767, numerators are 4352,9892
Denominators are 665,767
The GCF of 4352,9892 is 4 .
LCM of 665,767 is 510055.
The greatest common factor of 4352/665,9892/767 = [GCF of 4352,9892]/[LCM of 665,767]= 4/510055
Therefore, the GCF of 4352/665,9892/767 is 4/510055.
To find the highest common factor of 4352,9892, we have to find the factors of both numbers and list the highest common factor.
The factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352
The factors of 9892 are 1, 2, 4, 2473, 4946, 9892
The HCF of 4352,9892 is 4.
Lets's calculate GCF of 4352,9892
| 2 | 4352, 9892 |
| 2 | 2176, 4946 |
| 1088, 2473 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4352,9892 By Matching Biggest Common Factor Method
Now, list down the factors of 4352
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Now, list down the factors of 9892
:1,2,4,2473,4946,9892
Greatest Common Factor
We found the factors 4352,9892 . The biggest common factor number is the GCF number.
So the greatest common factor 4352,9892 is 4.
Lets's calculate LCM of 665,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 510055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/510055
Therefore, the GCF of Fractions 4352/665,9892/767 is 4/510055
Least Common Multiple of 665,767 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 665,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,767) x common factors =1 x 1 = 1
LCM(665,767) = ( 665 × 767 ) / 1
LCM(665,767) = 510055 / 1
LCM(665,767) = 510055
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FAQs on GCF of Fractions of 4352/665, 9892/767
1. What is the HCF of 4352,9892?
The HCF of 4352,9892 is 4
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 4352/665, 9892/767?
Answer: GCF of Numerators as per given numbers 4352/665, 9892/767 is
GCF of Numerators i.e. for 4352,9892 is 4
LCM of denominators i.e. for 665,767 is 510055.
Thus, GCF of Fractions is 4/510055.Finally, GCF of Fractions for 4352/665, 9892/767 is 4/510055.