How to Find GCF of 5390/920, 8888/274?

GCF of 5390/920, 8888/274

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 5390/920, 8888/274 i.e 22/126040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5390/920, 8888/274.

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 5390/920,8888/274?

Given fractions are 5390/920,8888/274

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 5390/920,8888/274, numerators are 5390,8888

Denominators are 920,274

The GCF of 5390,8888 is 22 .

LCM of 920,274 is 126040.

The greatest common factor of 5390/920,8888/274 = [GCF of 5390,8888]/[LCM of 920,274]= 22/126040

Therefore, the GCF of 5390/920,8888/274 is 22/126040.

Greatest Common Factor of 5390,8888

To find the highest common factor of 5390,8888, we have to find the factors of both numbers and list the highest common factor.

The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390

The factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888

The HCF of 5390,8888 is 22.

Lets's calculate GCF of 5390,8888

Greatest Common Factor (GCF) of 5390,8888 By Common Division

2	5390, 8888
11	2695, 4444
	245, 404

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5390,8888 By Matching Biggest Common Factor Method

Now, list down the factors of 5390

1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390

Now, list down the factors of 8888

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Greatest Common Factor

We found the factors 5390,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,8888 is 22.

Lets's calculate LCM of 920,274

Lowest Common Multiple of 920,274 using Common Division

2	920, 274
	460, 137

∴ So the LCM of the given numbers is 2 x 460 x 137 = 126040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/126040

Therefore, the GCF of Fractions 5390/920,8888/274 is 22/126040

Least Common Multiple of 920,274 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 920,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,274) = 2

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

GCF(920,274) x common factors =2 x 1 = 2

LCM(920,274) = ( 920 × 274 ) / 2

LCM(920,274) = 252080 / 2

LCM(920,274) = 126040

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FAQs on GCF of Fractions of 5390/920, 8888/274

1. What is the HCF of 5390,8888?

The HCF of 5390,8888 is 22

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 5390/920, 8888/274?

Answer: GCF of Numerators as per given numbers 5390/920, 8888/274 is

GCF of Numerators i.e. for 5390,8888 is 22

LCM of denominators i.e. for 920,274 is 126040.

Thus, GCF of Fractions is 22/126040.Finally, GCF of Fractions for 5390/920, 8888/274 is 22/126040.