Highest Common Factor of 964, 766, 825 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 964, 766, 825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 964, 766, 825 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 964, 766, 825 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 964, 766, 825 is 1.
HCF(964, 766, 825) = 1
HCF of 964, 766, 825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 964, 766, 825 is 1.
Highest Common Factor of 964,766,825 is 1
Step 1: Since 964 > 766, we apply the division lemma to 964 and 766, to get
964 = 766 x 1 + 198
Step 2: Since the reminder 766 ≠ 0, we apply division lemma to 198 and 766, to get
766 = 198 x 3 + 172
Step 3: We consider the new divisor 198 and the new remainder 172, and apply the division lemma to get
198 = 172 x 1 + 26
We consider the new divisor 172 and the new remainder 26,and apply the division lemma to get
172 = 26 x 6 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 964 and 766 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(172,26) = HCF(198,172) = HCF(766,198) = HCF(964,766) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 825 > 2, we apply the division lemma to 825 and 2, to get
825 = 2 x 412 + 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 825 is 1
Notice that 1 = HCF(2,1) = HCF(825,2) .
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Frequently Asked Questions on HCF of 964, 766, 825 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 964, 766, 825?
Answer: HCF of 964, 766, 825 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 964, 766, 825 using Euclid's Algorithm?
Answer: For arbitrary numbers 964, 766, 825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.