How to Find GCF of 248/871, 7110/162?

GCF of 248/871, 7110/162

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 248/871, 7110/162 i.e 2/141102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/871, 7110/162.

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 248/871,7110/162?

Given fractions are 248/871,7110/162

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 248/871,7110/162, numerators are 248,7110

Denominators are 871,162

The GCF of 248,7110 is 2 .

LCM of 871,162 is 141102.

The greatest common factor of 248/871,7110/162 = [GCF of 248,7110]/[LCM of 871,162]= 2/141102

Therefore, the GCF of 248/871,7110/162 is 2/141102.

Greatest Common Factor of 248,7110

To find the highest common factor of 248,7110, we have to find the factors of both numbers and list the highest common factor.

The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248

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 248,7110 is 2.

Lets's calculate GCF of 248,7110

Greatest Common Factor (GCF) of 248,7110 By Common Division

2	248, 7110
	124, 3555

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

Greatest Common Factor of 248,7110 By Matching Biggest Common Factor Method

Now, list down the factors of 248

1,2,4,8,31,62,124,248

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 248,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 248,7110 is 2.

Lets's calculate LCM of 871,162

Lowest Common Multiple of 871,162 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141102

Therefore, the GCF of Fractions 248/871,7110/162 is 2/141102

Least Common Multiple of 871,162 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 871,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,162) = 1

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

GCF(871,162) x common factors =1 x 1 = 1

LCM(871,162) = ( 871 × 162 ) / 1

LCM(871,162) = 141102 / 1

LCM(871,162) = 141102

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FAQs on GCF of Fractions of 248/871, 7110/162

1. What is the HCF of 248,7110?

The HCF of 248,7110 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 248/871, 7110/162?

Answer: GCF of Numerators as per given numbers 248/871, 7110/162 is

GCF of Numerators i.e. for 248,7110 is 2

LCM of denominators i.e. for 871,162 is 141102.

Thus, GCF of Fractions is 2/141102.Finally, GCF of Fractions for 248/871, 7110/162 is 2/141102.