How to Find GCF of 5730/152, 7016/945?

GCF of 5730/152, 7016/945

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 5730/152, 7016/945 i.e 2/143640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5730/152, 7016/945.

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 5730/152,7016/945?

Given fractions are 5730/152,7016/945

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 5730/152,7016/945, numerators are 5730,7016

Denominators are 152,945

The GCF of 5730,7016 is 2 .

LCM of 152,945 is 143640.

The greatest common factor of 5730/152,7016/945 = [GCF of 5730,7016]/[LCM of 152,945]= 2/143640

Therefore, the GCF of 5730/152,7016/945 is 2/143640.

Greatest Common Factor of 5730,7016

To find the highest common factor of 5730,7016, we have to find the factors of both numbers and list the highest common factor.

The factors of 5730 are 1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730

The factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016

The HCF of 5730,7016 is 2.

Lets's calculate GCF of 5730,7016

Greatest Common Factor (GCF) of 5730,7016 By Common Division

2	5730, 7016
	2865, 3508

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

Greatest Common Factor of 5730,7016 By Matching Biggest Common Factor Method

Now, list down the factors of 5730

1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730

Now, list down the factors of 7016

1,2,4,8,877,1754,3508,7016

Greatest Common Factor

We found the factors 5730,7016 . The biggest common factor number is the GCF number.
So the greatest common factor 5730,7016 is 2.

Lets's calculate LCM of 152,945

Lowest Common Multiple of 152,945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 143640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143640

Therefore, the GCF of Fractions 5730/152,7016/945 is 2/143640

Least Common Multiple of 152,945 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 152,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,945) = 1

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

GCF(152,945) x common factors =1 x 1 = 1

LCM(152,945) = ( 152 × 945 ) / 1

LCM(152,945) = 143640 / 1

LCM(152,945) = 143640

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FAQs on GCF of Fractions of 5730/152, 7016/945

1. What is the HCF of 5730,7016?

The HCF of 5730,7016 is 2

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 5730/152, 7016/945?

Answer: GCF of Numerators as per given numbers 5730/152, 7016/945 is

GCF of Numerators i.e. for 5730,7016 is 2

LCM of denominators i.e. for 152,945 is 143640.

Thus, GCF of Fractions is 2/143640.Finally, GCF of Fractions for 5730/152, 7016/945 is 2/143640.