Highest Common Factor of 292, 770, 632 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 292, 770, 632 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 292, 770, 632 is 2 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 292, 770, 632 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 292, 770, 632 is 2.

HCF(292, 770, 632) = 2

HCF of 292, 770, 632 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 292, 770, 632 is 2.

Highest Common Factor of 292,770,632 using Euclid's algorithm

Highest Common Factor of 292,770,632 is 2

Step 1: Since 770 > 292, we apply the division lemma to 770 and 292, to get

770 = 292 x 2 + 186

Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 186 and 292, to get

292 = 186 x 1 + 106

Step 3: We consider the new divisor 186 and the new remainder 106, and apply the division lemma to get

186 = 106 x 1 + 80

We consider the new divisor 106 and the new remainder 80,and apply the division lemma to get

106 = 80 x 1 + 26

We consider the new divisor 80 and the new remainder 26,and apply the division lemma to get

80 = 26 x 3 + 2

We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get

26 = 2 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 292 and 770 is 2

Notice that 2 = HCF(26,2) = HCF(80,26) = HCF(106,80) = HCF(186,106) = HCF(292,186) = HCF(770,292) .

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

Step 1: Since 632 > 2, we apply the division lemma to 632 and 2, to get

632 = 2 x 316 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 632 is 2

Notice that 2 = HCF(632,2) .

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Frequently Asked Questions on HCF of 292, 770, 632 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 292, 770, 632?

Answer: HCF of 292, 770, 632 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 292, 770, 632 using Euclid's Algorithm?

Answer: For arbitrary numbers 292, 770, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.