Highest Common Factor of 964, 8208 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, 8208 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 964, 8208 is 4 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, 8208 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, 8208 is 4.
HCF(964, 8208) = 4
HCF of 964, 8208 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, 8208 is 4.
Highest Common Factor of 964,8208 is 4
Step 1: Since 8208 > 964, we apply the division lemma to 8208 and 964, to get
8208 = 964 x 8 + 496
Step 2: Since the reminder 964 ≠ 0, we apply division lemma to 496 and 964, to get
964 = 496 x 1 + 468
Step 3: We consider the new divisor 496 and the new remainder 468, and apply the division lemma to get
496 = 468 x 1 + 28
We consider the new divisor 468 and the new remainder 28,and apply the division lemma to get
468 = 28 x 16 + 20
We consider the new divisor 28 and the new remainder 20,and apply the division lemma to get
28 = 20 x 1 + 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 964 and 8208 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(468,28) = HCF(496,468) = HCF(964,496) = HCF(8208,964) .
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Frequently Asked Questions on HCF of 964, 8208 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, 8208?
Answer: HCF of 964, 8208 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 964, 8208 using Euclid's Algorithm?
Answer: For arbitrary numbers 964, 8208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.