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GCF of 430/29, 350/3518

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 430/29, 350/3518 i.e 10/102022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/29, 350/3518.

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 430/29,350/3518?

Given fractions are 430/29,350/3518

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 430/29,350/3518, numerators are 430,350

Denominators are 29,3518

The GCF of 430,350 is 10 .

LCM of 29,3518 is 102022.

The greatest common factor of 430/29,350/3518 = [GCF of 430,350]/[LCM of 29,3518]= 10/102022

Therefore, the GCF of 430/29,350/3518 is 10/102022.

Greatest Common Factor of 430,350

To find the highest common factor of 430,350, we have to find the factors of both numbers and list the highest common factor.

The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The HCF of 430,350 is 10.

Lets's calculate GCF of 430,350

Greatest Common Factor (GCF) of 430,350 By Common Division

2 430, 350
5 215, 175
43, 35

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 430,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,350 By Matching Biggest Common Factor Method

Now, list down the factors of 430

:

1,2,5,10,43,86,215,430

Now, list down the factors of 350

:

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 430,350 . The biggest common factor number is the GCF number.
So the greatest common factor 430,350 is 10.

Lets's calculate LCM of 29,3518

Lowest Common Multiple of 29,3518 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 102022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/102022

Therefore, the GCF of Fractions 430/29,350/3518 is 10/102022

Least Common Multiple of 29,3518 with GCF Formula

Least Common Multiple of 29,3518 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 29,3518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,3518) = 1

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

GCF(29,3518) x common factors =1 x 1 = 1

LCM(29,3518) = ( 29 × 3518 ) / 1

LCM(29,3518) = 102022 / 1

LCM(29,3518) = 102022


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 430/29, 350/3518

1. What is the HCF of 430,350?

The HCF of 430,350 is 10

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 430/29, 350/3518?

Answer: GCF of Numerators as per given numbers 430/29, 350/3518 is

GCF of Numerators i.e. for 430,350 is 10

LCM of denominators i.e. for 29,3518 is 102022.

Thus, GCF of Fractions is 10/102022.Finally, GCF of Fractions for 430/29, 350/3518 is 10/102022.