Highest Common Factor of 776, 400, 387, 17 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 776, 400, 387, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 776, 400, 387, 17 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 776, 400, 387, 17 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 776, 400, 387, 17 is 1.
HCF(776, 400, 387, 17) = 1
HCF of 776, 400, 387, 17 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 776, 400, 387, 17 is 1.
Highest Common Factor of 776,400,387,17 is 1
Step 1: Since 776 > 400, we apply the division lemma to 776 and 400, to get
776 = 400 x 1 + 376
Step 2: Since the reminder 400 ≠ 0, we apply division lemma to 376 and 400, to get
400 = 376 x 1 + 24
Step 3: We consider the new divisor 376 and the new remainder 24, and apply the division lemma to get
376 = 24 x 15 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 776 and 400 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(376,24) = HCF(400,376) = HCF(776,400) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 387 > 8, we apply the division lemma to 387 and 8, to get
387 = 8 x 48 + 3
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get
8 = 3 x 2 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 8 and 387 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(387,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1
Notice that 1 = HCF(17,1) .
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Frequently Asked Questions on HCF of 776, 400, 387, 17 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 776, 400, 387, 17?
Answer: HCF of 776, 400, 387, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 776, 400, 387, 17 using Euclid's Algorithm?
Answer: For arbitrary numbers 776, 400, 387, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.