How to Find GCF of 880/67, 672/8078?

GCF of 880/67, 672/8078

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 880/67, 672/8078 i.e 16/541226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/67, 672/8078.

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 880/67,672/8078?

Given fractions are 880/67,672/8078

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 880/67,672/8078, numerators are 880,672

Denominators are 67,8078

The GCF of 880,672 is 16 .

LCM of 67,8078 is 541226.

The greatest common factor of 880/67,672/8078 = [GCF of 880,672]/[LCM of 67,8078]= 16/541226

Therefore, the GCF of 880/67,672/8078 is 16/541226.

Greatest Common Factor of 880,672

To find the highest common factor of 880,672, we have to find the factors of both numbers and list the highest common factor.

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 880,672 is 16.

Lets's calculate GCF of 880,672

Greatest Common Factor (GCF) of 880,672 By Common Division

2	880, 672
2	440, 336
2	220, 168
2	110, 84
	55, 42

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 880,672 By Matching Biggest Common Factor Method

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

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 880,672 . The biggest common factor number is the GCF number.
So the greatest common factor 880,672 is 16.

Lets's calculate LCM of 67,8078

Lowest Common Multiple of 67,8078 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 541226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/541226

Therefore, the GCF of Fractions 880/67,672/8078 is 16/541226

Least Common Multiple of 67,8078 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 67,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,8078) = 1

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

GCF(67,8078) x common factors =1 x 1 = 1

LCM(67,8078) = ( 67 × 8078 ) / 1

LCM(67,8078) = 541226 / 1

LCM(67,8078) = 541226

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FAQs on GCF of Fractions of 880/67, 672/8078

1. What is the HCF of 880,672?

The HCF of 880,672 is 16

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 880/67, 672/8078?

Answer: GCF of Numerators as per given numbers 880/67, 672/8078 is

GCF of Numerators i.e. for 880,672 is 16

LCM of denominators i.e. for 67,8078 is 541226.

Thus, GCF of Fractions is 16/541226.Finally, GCF of Fractions for 880/67, 672/8078 is 16/541226.