Highest Common Factor of 630, 874, 841, 874 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 630, 874, 841, 874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 630, 874, 841, 874 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 630, 874, 841, 874 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 630, 874, 841, 874 is 1.

HCF(630, 874, 841, 874) = 1

HCF of 630, 874, 841, 874 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 630, 874, 841, 874 is 1.

Highest Common Factor of 630,874,841,874 using Euclid's algorithm

Highest Common Factor of 630,874,841,874 is 1

Step 1: Since 874 > 630, we apply the division lemma to 874 and 630, to get

874 = 630 x 1 + 244

Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 244 and 630, to get

630 = 244 x 2 + 142

Step 3: We consider the new divisor 244 and the new remainder 142, and apply the division lemma to get

244 = 142 x 1 + 102

We consider the new divisor 142 and the new remainder 102,and apply the division lemma to get

142 = 102 x 1 + 40

We consider the new divisor 102 and the new remainder 40,and apply the division lemma to get

102 = 40 x 2 + 22

We consider the new divisor 40 and the new remainder 22,and apply the division lemma to get

40 = 22 x 1 + 18

We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get

22 = 18 x 1 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 630 and 874 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(40,22) = HCF(102,40) = HCF(142,102) = HCF(244,142) = HCF(630,244) = HCF(874,630) .

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

Step 1: Since 841 > 2, we apply the division lemma to 841 and 2, to get

841 = 2 x 420 + 1

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

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 841 is 1

Notice that 1 = HCF(2,1) = HCF(841,2) .

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

Step 1: Since 874 > 1, we apply the division lemma to 874 and 1, to get

874 = 1 x 874 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 874 is 1

Notice that 1 = HCF(874,1) .

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Frequently Asked Questions on HCF of 630, 874, 841, 874 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 630, 874, 841, 874?

Answer: HCF of 630, 874, 841, 874 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 630, 874, 841, 874 using Euclid's Algorithm?

Answer: For arbitrary numbers 630, 874, 841, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.