How to Find GCF of 5572/600, 6788/2210?

GCF of 5572/600, 6788/2210

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 5572/600, 6788/2210 i.e 4/132600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5572/600, 6788/2210.

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 5572/600,6788/2210?

Given fractions are 5572/600,6788/2210

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 5572/600,6788/2210, numerators are 5572,6788

Denominators are 600,2210

The GCF of 5572,6788 is 4 .

LCM of 600,2210 is 132600.

The greatest common factor of 5572/600,6788/2210 = [GCF of 5572,6788]/[LCM of 600,2210]= 4/132600

Therefore, the GCF of 5572/600,6788/2210 is 4/132600.

Greatest Common Factor of 5572,6788

To find the highest common factor of 5572,6788, we have to find the factors of both numbers and list the highest common factor.

The factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572

The factors of 6788 are 1, 2, 4, 1697, 3394, 6788

The HCF of 5572,6788 is 4.

Lets's calculate GCF of 5572,6788

Greatest Common Factor (GCF) of 5572,6788 By Common Division

2	5572, 6788
2	2786, 3394
	1393, 1697

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5572,6788 By Matching Biggest Common Factor Method

Now, list down the factors of 5572

1,2,4,7,14,28,199,398,796,1393,2786,5572

Now, list down the factors of 6788

1,2,4,1697,3394,6788

Greatest Common Factor

We found the factors 5572,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 5572,6788 is 4.

Lets's calculate LCM of 600,2210

Lowest Common Multiple of 600,2210 using Common Division

2	600, 2210
5	300, 1105
	60, 221

∴ So the LCM of the given numbers is 2 x 5 x 60 x 221 = 132600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/132600

Therefore, the GCF of Fractions 5572/600,6788/2210 is 4/132600

Least Common Multiple of 600,2210 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 600,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,2210) = 10

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

GCF(600,2210) x common factors =10 x 1 = 10

LCM(600,2210) = ( 600 × 2210 ) / 10

LCM(600,2210) = 1326000 / 10

LCM(600,2210) = 132600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5572/600, 6788/2210

1. What is the HCF of 5572,6788?

The HCF of 5572,6788 is 4

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 5572/600, 6788/2210?

Answer: GCF of Numerators as per given numbers 5572/600, 6788/2210 is

GCF of Numerators i.e. for 5572,6788 is 4

LCM of denominators i.e. for 600,2210 is 132600.

Thus, GCF of Fractions is 4/132600.Finally, GCF of Fractions for 5572/600, 6788/2210 is 4/132600.