How to Find GCF of 70/12, 39/89, 321/925?

GCF of 70/12, 39/89, 321/925

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 70/12, 39/89, 321/925 i.e 1/987900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/12, 39/89, 321/925.

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 70/12,39/89,321/925?

Given fractions are 70/12,39/89,321/925

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 70/12,39/89,321/925, numerators are 70,39,321

Denominators are 12,89,925

The GCF of 70,39,321 is 1 .

LCM of 12,89,925 is 987900.

The greatest common factor of 70/12,39/89,321/925 = [GCF of 70,39,321]/[LCM of 12,89,925]= 1/987900

Therefore, the GCF of 70/12,39/89,321/925 is 1/987900.

Greatest Common Factor of 70,39,321

To find the highest common factor of 70,39,321, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 39 are 1, 3, 13, 39

The factors of 321 are 1, 3, 107, 321

The HCF of 70,39,321 is 1.

Lets's calculate GCF of 70,39,321

Greatest Common Factor (GCF) of 70,39,321 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 70,39,321 By Matching Biggest Common Factor Method

Now, list down the factors of 70

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

Now, list down the factors of 39

1,3,13,39

Now, list down the factors of 321

1,3,107,321

Greatest Common Factor

We found the factors 70,39,321 . The biggest common factor number is the GCF number.
So the greatest common factor 70,39,321 is 1.

Lets's calculate LCM of 12,89,925

Lowest Common Multiple of 12,89,925 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 987900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/987900

Therefore, the GCF of Fractions 70/12,39/89,321/925 is 1/987900

Least Common Multiple of 12,89,925 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,89,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,89,925) = 1

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

GCF(12,89,925) x common factors =1 x 1 = 1

LCM(12,89,925) = ( 12 × 89 × 925 ) / 1

LCM(12,89,925) = 987900 / 1

LCM(12,89,925) = 987900

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FAQs on GCF of Fractions of 70/12, 39/89, 321/925

1. What is the HCF of 70,39,321?

The HCF of 70,39,321 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 70/12, 39/89, 321/925?

Answer: GCF of Numerators as per given numbers 70/12, 39/89, 321/925 is

GCF of Numerators i.e. for 70,39,321 is 1

LCM of denominators i.e. for 12,89,925 is 987900.

Thus, GCF of Fractions is 1/987900.Finally, GCF of Fractions for 70/12, 39/89, 321/925 is 1/987900.