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GCF of 352/899, 3410/492

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 352/899, 3410/492 i.e 22/442308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/899, 3410/492.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 352/899,3410/492?

Given fractions are 352/899,3410/492

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 352/899,3410/492, numerators are 352,3410

Denominators are 899,492

The GCF of 352,3410 is 22 .

LCM of 899,492 is 442308.

The greatest common factor of 352/899,3410/492 = [GCF of 352,3410]/[LCM of 899,492]= 22/442308

Therefore, the GCF of 352/899,3410/492 is 22/442308.

Greatest Common Factor of 352,3410

To find the highest common factor of 352,3410, 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 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410

The HCF of 352,3410 is 22.

Lets's calculate GCF of 352,3410

Greatest Common Factor (GCF) of 352,3410 By Common Division

2 352, 3410
11 176, 1705
16, 155

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 352,3410 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,3410 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 3410

:

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Greatest Common Factor

We found the factors 352,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 352,3410 is 22.


Lets's calculate LCM of 899,492

Lowest Common Multiple of 899,492 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 442308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/442308

Therefore, the GCF of Fractions 352/899,3410/492 is 22/442308

Least Common Multiple of 899,492 with GCF Formula

Least Common Multiple of 899,492 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 899,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,492) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(899,492) x common factors =1 x 1 = 1

LCM(899,492) = ( 899 × 492 ) / 1

LCM(899,492) = 442308 / 1

LCM(899,492) = 442308


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 352/899, 3410/492

1. What is the HCF of 352,3410?

The HCF of 352,3410 is 22

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 352/899, 3410/492?

Answer: GCF of Numerators as per given numbers 352/899, 3410/492 is

GCF of Numerators i.e. for 352,3410 is 22

LCM of denominators i.e. for 899,492 is 442308.

Thus, GCF of Fractions is 22/442308.Finally, GCF of Fractions for 352/899, 3410/492 is 22/442308.