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Greatest Common Factor of 70/34, 90/170, 140/225

Get help with finding GCF of fractions 70/34, 90/170, 140/225 using GCF of Fractions Calculator to know the result 10/7650 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 70/34, 90/170, 140/225 is 10/7650.

GCF(70/34, 90/170, 140/225) = 10/7650

GCF of 70/34, 90/170, 140/225

Enter two or more fractions separated by "commas"

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

GCF of:

Given fractions are 70/34,90/170,140/225

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 70,90,140

Greatest Common Factor of Numerators i.e. GCF of 70,90,140 is 10 .

LCM of Denominators means LCM of 34,170,225 as per the given fractions.

LCM of 34,170,225 is 7650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,90,140

Greatest Common Factor (GCF) of 70,90,140 By Common Division

2 70, 90, 140
5 35, 45, 70
7, 9, 14

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

Greatest Common Factor of 70,90,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,90,140 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 70,90,140 . The biggest common factor number is the GCF number.
So the greatest common factor 70,90,140 is 10.


Lets's calculate LCM of 34,170,225

Least Common Multiple (LCM) of 34,170,225 By Common Division

2 34, 170, 225
5 17, 85, 225
17 17, 17, 45
1, 1, 45

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 1 x 45 = 7650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7650

Therefore, the GCF of Fractions 70/34,90/170,140/225 is 10/7650

Least Common Multiple of 34,170,225 with GCF Formula

Least Common Multiple of 34,170,225 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 34,170,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,170,225) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(34,170,225) x common factors =1 x 170 = 170

LCM(34,170,225) = ( 34 × 170 × 225 ) / 170

LCM(34,170,225) = 1300500 / 170

LCM(34,170,225) = 7650


GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 70/34, 90/170, 140/225

1. 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.

2. What is the GCF of Fractions for 70/34, 90/170, 140/225?

Answer: GCF of Numerators as per given numbers 70/34, 90/170, 140/225 is

GCF of Numerators i.e. for 70,90,140 is 10

LCM of denominators i.e. for 34,170,225 is 7650.

Thus, GCF of Fractions is 10/7650.Finally, GCF of Fractions for 70/34, 90/170, 140/225 is 10/7650.