Highest Common Factor of 962, 63208 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 962, 63208 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 63208 is 2 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 962, 63208 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 962, 63208 is 2.
HCF(962, 63208) = 2
HCF of 962, 63208 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 63208 is 2.
Highest Common Factor of 962,63208 is 2
Step 1: Since 63208 > 962, we apply the division lemma to 63208 and 962, to get
63208 = 962 x 65 + 678
Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 678 and 962, to get
962 = 678 x 1 + 284
Step 3: We consider the new divisor 678 and the new remainder 284, and apply the division lemma to get
678 = 284 x 2 + 110
We consider the new divisor 284 and the new remainder 110,and apply the division lemma to get
284 = 110 x 2 + 64
We consider the new divisor 110 and the new remainder 64,and apply the division lemma to get
110 = 64 x 1 + 46
We consider the new divisor 64 and the new remainder 46,and apply the division lemma to get
64 = 46 x 1 + 18
We consider the new divisor 46 and the new remainder 18,and apply the division lemma to get
46 = 18 x 2 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 962 and 63208 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(46,18) = HCF(64,46) = HCF(110,64) = HCF(284,110) = HCF(678,284) = HCF(962,678) = HCF(63208,962) .
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Frequently Asked Questions on HCF of 962, 63208 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 962, 63208?
Answer: HCF of 962, 63208 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 63208 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 63208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.