GCF of 352/840, 371/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 352/840, 371/735 i.e 1/5880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/840, 371/735.
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 352/840,371/735?
Given fractions are 352/840,371/735
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 352/840,371/735, numerators are 352,371
Denominators are 840,735
The GCF of 352,371 is 1 .
LCM of 840,735 is 5880.
The greatest common factor of 352/840,371/735 = [GCF of 352,371]/[LCM of 840,735]= 1/5880
Therefore, the GCF of 352/840,371/735 is 1/5880.
To find the highest common factor of 352,371, we have to find the factors of both numbers and list the highest common factor.
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 371 are 1, 7, 53, 371
The HCF of 352,371 is 1.
Lets's calculate GCF of 352,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 352,371 By Matching Biggest Common Factor Method
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 371
:1,7,53,371
Greatest Common Factor
We found the factors 352,371 . The biggest common factor number is the GCF number.
So the greatest common factor 352,371 is 1.
Lets's calculate LCM of 840,735
| 3 | 840, 735 |
| 5 | 280, 245 |
| 7 | 56, 49 |
| 8, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 8 x 7 = 5880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5880
Therefore, the GCF of Fractions 352/840,371/735 is 1/5880
Least Common Multiple of 840,735 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 840,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,735) = 105
common factors(in case of two or more numbers have common factors) = 1
GCF(840,735) x common factors =105 x 1 = 105
LCM(840,735) = ( 840 × 735 ) / 105
LCM(840,735) = 617400 / 105
LCM(840,735) = 5880
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FAQs on GCF of Fractions of 352/840, 371/735
1. What is the HCF of 352,371?
The HCF of 352,371 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 352/840, 371/735?
Answer: GCF of Numerators as per given numbers 352/840, 371/735 is
GCF of Numerators i.e. for 352,371 is 1
LCM of denominators i.e. for 840,735 is 5880.
Thus, GCF of Fractions is 1/5880.Finally, GCF of Fractions for 352/840, 371/735 is 1/5880.