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GCF of 143/78, 154/770

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 143/78, 154/770 i.e 11/30030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/78, 154/770.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 143/78,154/770?

Given fractions are 143/78,154/770

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 143/78,154/770, numerators are 143,154

Denominators are 78,770

The GCF of 143,154 is 11 .

LCM of 78,770 is 30030.

The greatest common factor of 143/78,154/770 = [GCF of 143,154]/[LCM of 78,770]= 11/30030

Therefore, the GCF of 143/78,154/770 is 11/30030.

Greatest Common Factor of 143,154

To find the highest common factor of 143,154, we have to find the factors of both numbers and list the highest common factor.

The factors of 143 are 1, 11, 13, 143

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

The HCF of 143,154 is 11.

Lets's calculate GCF of 143,154

Greatest Common Factor (GCF) of 143,154 By Common Division

11 143, 154
13, 14

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 143,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,154 By Matching Biggest Common Factor Method

Now, list down the factors of 143

:

1,11,13,143

Now, list down the factors of 154

:

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 143,154 . The biggest common factor number is the GCF number.
So the greatest common factor 143,154 is 11.

Lets's calculate LCM of 78,770

Lowest Common Multiple of 78,770 using Common Division

2 78, 770
39, 385

∴ So the LCM of the given numbers is 2 x 39 x 385 = 30030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/30030

Therefore, the GCF of Fractions 143/78,154/770 is 11/30030

Least Common Multiple of 78,770 with GCF Formula

Least Common Multiple of 78,770 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,770) = 2

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

GCF(78,770) x common factors =2 x 1 = 2

LCM(78,770) = ( 78 × 770 ) / 2

LCM(78,770) = 60060 / 2

LCM(78,770) = 30030


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FAQs on GCF of Fractions of 143/78, 154/770

1. What is the HCF of 143,154?

The HCF of 143,154 is 11

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 143/78, 154/770?

Answer: GCF of Numerators as per given numbers 143/78, 154/770 is

GCF of Numerators i.e. for 143,154 is 11

LCM of denominators i.e. for 78,770 is 30030.

Thus, GCF of Fractions is 11/30030.Finally, GCF of Fractions for 143/78, 154/770 is 11/30030.