Highest Common Factor of 376, 964, 755 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 376, 964, 755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 376, 964, 755 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 376, 964, 755 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 376, 964, 755 is 1.
HCF(376, 964, 755) = 1
HCF of 376, 964, 755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 376, 964, 755 is 1.
Highest Common Factor of 376,964,755 is 1
Step 1: Since 964 > 376, we apply the division lemma to 964 and 376, to get
964 = 376 x 2 + 212
Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 212 and 376, to get
376 = 212 x 1 + 164
Step 3: We consider the new divisor 212 and the new remainder 164, and apply the division lemma to get
212 = 164 x 1 + 48
We consider the new divisor 164 and the new remainder 48,and apply the division lemma to get
164 = 48 x 3 + 20
We consider the new divisor 48 and the new remainder 20,and apply the division lemma to get
48 = 20 x 2 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 376 and 964 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(48,20) = HCF(164,48) = HCF(212,164) = HCF(376,212) = HCF(964,376) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 755 > 4, we apply the division lemma to 755 and 4, to get
755 = 4 x 188 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 755 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(755,4) .
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Frequently Asked Questions on HCF of 376, 964, 755 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 376, 964, 755?
Answer: HCF of 376, 964, 755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 376, 964, 755 using Euclid's Algorithm?
Answer: For arbitrary numbers 376, 964, 755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
