How to Find GCF of 980/67, 672/738?

GCF of 980/67, 672/738

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 980/67, 672/738 i.e 28/49446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/67, 672/738.

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 980/67,672/738?

Given fractions are 980/67,672/738

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 980/67,672/738, numerators are 980,672

Denominators are 67,738

The GCF of 980,672 is 28 .

LCM of 67,738 is 49446.

The greatest common factor of 980/67,672/738 = [GCF of 980,672]/[LCM of 67,738]= 28/49446

Therefore, the GCF of 980/67,672/738 is 28/49446.

Greatest Common Factor of 980,672

To find the highest common factor of 980,672, we have to find the factors of both numbers and list the highest common factor.

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

The HCF of 980,672 is 28.

Lets's calculate GCF of 980,672

Greatest Common Factor (GCF) of 980,672 By Common Division

2	980, 672
2	490, 336
7	245, 168
	35, 24

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 980,672 By Matching Biggest Common Factor Method

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Now, list down the factors of 672

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 980,672 . The biggest common factor number is the GCF number.
So the greatest common factor 980,672 is 28.

Lets's calculate LCM of 67,738

Lowest Common Multiple of 67,738 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/49446

Therefore, the GCF of Fractions 980/67,672/738 is 28/49446

Least Common Multiple of 67,738 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 67,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,738) = 1

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

GCF(67,738) x common factors =1 x 1 = 1

LCM(67,738) = ( 67 × 738 ) / 1

LCM(67,738) = 49446 / 1

LCM(67,738) = 49446

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FAQs on GCF of Fractions of 980/67, 672/738

1. What is the HCF of 980,672?

The HCF of 980,672 is 28

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 980/67, 672/738?

Answer: GCF of Numerators as per given numbers 980/67, 672/738 is

GCF of Numerators i.e. for 980,672 is 28

LCM of denominators i.e. for 67,738 is 49446.

Thus, GCF of Fractions is 28/49446.Finally, GCF of Fractions for 980/67, 672/738 is 28/49446.