Highest Common Factor of 377, 859, 932 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 377, 859, 932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 377, 859, 932 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 377, 859, 932 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 377, 859, 932 is 1.

HCF(377, 859, 932) = 1

HCF of 377, 859, 932 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 377, 859, 932 is 1.

Highest Common Factor of 377,859,932 using Euclid's algorithm

Highest Common Factor of 377,859,932 is 1

Step 1: Since 859 > 377, we apply the division lemma to 859 and 377, to get

859 = 377 x 2 + 105

Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 105 and 377, to get

377 = 105 x 3 + 62

Step 3: We consider the new divisor 105 and the new remainder 62, and apply the division lemma to get

105 = 62 x 1 + 43

We consider the new divisor 62 and the new remainder 43,and apply the division lemma to get

62 = 43 x 1 + 19

We consider the new divisor 43 and the new remainder 19,and apply the division lemma to get

43 = 19 x 2 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 377 and 859 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(43,19) = HCF(62,43) = HCF(105,62) = HCF(377,105) = HCF(859,377) .

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

Step 1: Since 932 > 1, we apply the division lemma to 932 and 1, to get

932 = 1 x 932 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 932 is 1

Notice that 1 = HCF(932,1) .

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Frequently Asked Questions on HCF of 377, 859, 932 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 377, 859, 932?

Answer: HCF of 377, 859, 932 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 377, 859, 932 using Euclid's Algorithm?

Answer: For arbitrary numbers 377, 859, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.