Highest Common Factor of 535, 875, 146 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 535, 875, 146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 535, 875, 146 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 535, 875, 146 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 535, 875, 146 is 1.

HCF(535, 875, 146) = 1

HCF of 535, 875, 146 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 535, 875, 146 is 1.

Highest Common Factor of 535,875,146 using Euclid's algorithm

Highest Common Factor of 535,875,146 is 1

Step 1: Since 875 > 535, we apply the division lemma to 875 and 535, to get

875 = 535 x 1 + 340

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 340 and 535, to get

535 = 340 x 1 + 195

Step 3: We consider the new divisor 340 and the new remainder 195, and apply the division lemma to get

340 = 195 x 1 + 145

We consider the new divisor 195 and the new remainder 145,and apply the division lemma to get

195 = 145 x 1 + 50

We consider the new divisor 145 and the new remainder 50,and apply the division lemma to get

145 = 50 x 2 + 45

We consider the new divisor 50 and the new remainder 45,and apply the division lemma to get

50 = 45 x 1 + 5

We consider the new divisor 45 and the new remainder 5,and apply the division lemma to get

45 = 5 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 535 and 875 is 5

Notice that 5 = HCF(45,5) = HCF(50,45) = HCF(145,50) = HCF(195,145) = HCF(340,195) = HCF(535,340) = HCF(875,535) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 146 > 5, we apply the division lemma to 146 and 5, to get

146 = 5 x 29 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 146 is 1

Notice that 1 = HCF(5,1) = HCF(146,5) .

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Frequently Asked Questions on HCF of 535, 875, 146 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 535, 875, 146?

Answer: HCF of 535, 875, 146 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 535, 875, 146 using Euclid's Algorithm?

Answer: For arbitrary numbers 535, 875, 146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.