GCF of 368/938, 7669/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 368/938, 7669/910 i.e 1/60970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/938, 7669/910.
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 368/938,7669/910?
Given fractions are 368/938,7669/910
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 368/938,7669/910, numerators are 368,7669
Denominators are 938,910
The GCF of 368,7669 is 1 .
LCM of 938,910 is 60970.
The greatest common factor of 368/938,7669/910 = [GCF of 368,7669]/[LCM of 938,910]= 1/60970
Therefore, the GCF of 368/938,7669/910 is 1/60970.
To find the highest common factor of 368,7669, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 7669 are 1, 7669
The HCF of 368,7669 is 1.
Lets's calculate GCF of 368,7669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 368,7669 By Matching Biggest Common Factor Method
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 7669
:1,7669
Greatest Common Factor
We found the factors 368,7669 . The biggest common factor number is the GCF number.
So the greatest common factor 368,7669 is 1.
Lets's calculate LCM of 938,910
| 2 | 938, 910 |
| 7 | 469, 455 |
| 67, 65 |
∴ So the LCM of the given numbers is 2 x 7 x 67 x 65 = 60970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60970
Therefore, the GCF of Fractions 368/938,7669/910 is 1/60970
Least Common Multiple of 938,910 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 938,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,910) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(938,910) x common factors =14 x 1 = 14
LCM(938,910) = ( 938 × 910 ) / 14
LCM(938,910) = 853580 / 14
LCM(938,910) = 60970
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FAQs on GCF of Fractions of 368/938, 7669/910
1. What is the HCF of 368,7669?
The HCF of 368,7669 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 368/938, 7669/910?
Answer: GCF of Numerators as per given numbers 368/938, 7669/910 is
GCF of Numerators i.e. for 368,7669 is 1
LCM of denominators i.e. for 938,910 is 60970.
Thus, GCF of Fractions is 1/60970.Finally, GCF of Fractions for 368/938, 7669/910 is 1/60970.