How to Find GCF of 3533/100, 7110/778?

GCF of 3533/100, 7110/778

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 3533/100, 7110/778 i.e 1/38900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3533/100, 7110/778.

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 3533/100,7110/778?

Given fractions are 3533/100,7110/778

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 3533/100,7110/778, numerators are 3533,7110

Denominators are 100,778

The GCF of 3533,7110 is 1 .

LCM of 100,778 is 38900.

The greatest common factor of 3533/100,7110/778 = [GCF of 3533,7110]/[LCM of 100,778]= 1/38900

Therefore, the GCF of 3533/100,7110/778 is 1/38900.

Greatest Common Factor of 3533,7110

To find the highest common factor of 3533,7110, we have to find the factors of both numbers and list the highest common factor.

The factors of 3533 are 1, 3533

The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110

The HCF of 3533,7110 is 1.

Lets's calculate GCF of 3533,7110

Greatest Common Factor (GCF) of 3533,7110 By Common Division

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

Greatest Common Factor of 3533,7110 By Matching Biggest Common Factor Method

Now, list down the factors of 3533

1,3533

Now, list down the factors of 7110

1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110

Greatest Common Factor

We found the factors 3533,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 3533,7110 is 1.

Lets's calculate LCM of 100,778

Lowest Common Multiple of 100,778 using Common Division

2	100, 778
	50, 389

∴ So the LCM of the given numbers is 2 x 50 x 389 = 38900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38900

Therefore, the GCF of Fractions 3533/100,7110/778 is 1/38900

Least Common Multiple of 100,778 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 100,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,778) = 2

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

GCF(100,778) x common factors =2 x 1 = 2

LCM(100,778) = ( 100 × 778 ) / 2

LCM(100,778) = 77800 / 2

LCM(100,778) = 38900

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FAQs on GCF of Fractions of 3533/100, 7110/778

1. What is the HCF of 3533,7110?

The HCF of 3533,7110 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 3533/100, 7110/778?

Answer: GCF of Numerators as per given numbers 3533/100, 7110/778 is

GCF of Numerators i.e. for 3533,7110 is 1

LCM of denominators i.e. for 100,778 is 38900.

Thus, GCF of Fractions is 1/38900.Finally, GCF of Fractions for 3533/100, 7110/778 is 1/38900.