How to Find GCF of 1562/278, 6390/140?

GCF of 1562/278, 6390/140

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 1562/278, 6390/140 i.e 142/19460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1562/278, 6390/140.

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 1562/278,6390/140?

Given fractions are 1562/278,6390/140

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 1562/278,6390/140, numerators are 1562,6390

Denominators are 278,140

The GCF of 1562,6390 is 142 .

LCM of 278,140 is 19460.

The greatest common factor of 1562/278,6390/140 = [GCF of 1562,6390]/[LCM of 278,140]= 142/19460

Therefore, the GCF of 1562/278,6390/140 is 142/19460.

Greatest Common Factor of 1562,6390

To find the highest common factor of 1562,6390, we have to find the factors of both numbers and list the highest common factor.

The factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562

The factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390

The HCF of 1562,6390 is 142.

Lets's calculate GCF of 1562,6390

Greatest Common Factor (GCF) of 1562,6390 By Common Division

2	1562, 6390
71	781, 3195
	11, 45

∴ So the GCF of the given numbers is 2 x 71 = 142

Greatest Common Factor of 1562,6390 By Matching Biggest Common Factor Method

Now, list down the factors of 1562

1,2,11,22,71,142,781,1562

Now, list down the factors of 6390

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Greatest Common Factor

We found the factors 1562,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 1562,6390 is 142.

Lets's calculate LCM of 278,140

Lowest Common Multiple of 278,140 using Common Division

2	278, 140
	139, 70

∴ So the LCM of the given numbers is 2 x 139 x 70 = 19460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/19460

Therefore, the GCF of Fractions 1562/278,6390/140 is 142/19460

Least Common Multiple of 278,140 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 278,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,140) = 2

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

GCF(278,140) x common factors =2 x 1 = 2

LCM(278,140) = ( 278 × 140 ) / 2

LCM(278,140) = 38920 / 2

LCM(278,140) = 19460

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FAQs on GCF of Fractions of 1562/278, 6390/140

1. What is the HCF of 1562,6390?

The HCF of 1562,6390 is 142

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 1562/278, 6390/140?

Answer: GCF of Numerators as per given numbers 1562/278, 6390/140 is

GCF of Numerators i.e. for 1562,6390 is 142

LCM of denominators i.e. for 278,140 is 19460.

Thus, GCF of Fractions is 142/19460.Finally, GCF of Fractions for 1562/278, 6390/140 is 142/19460.