Highest Common Factor of 8915, 962 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 8915, 962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8915, 962 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 8915, 962 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 8915, 962 is 1.
HCF(8915, 962) = 1
HCF of 8915, 962 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8915, 962 is 1.
Highest Common Factor of 8915,962 is 1
Step 1: Since 8915 > 962, we apply the division lemma to 8915 and 962, to get
8915 = 962 x 9 + 257
Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 257 and 962, to get
962 = 257 x 3 + 191
Step 3: We consider the new divisor 257 and the new remainder 191, and apply the division lemma to get
257 = 191 x 1 + 66
We consider the new divisor 191 and the new remainder 66,and apply the division lemma to get
191 = 66 x 2 + 59
We consider the new divisor 66 and the new remainder 59,and apply the division lemma to get
66 = 59 x 1 + 7
We consider the new divisor 59 and the new remainder 7,and apply the division lemma to get
59 = 7 x 8 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
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 8915 and 962 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(59,7) = HCF(66,59) = HCF(191,66) = HCF(257,191) = HCF(962,257) = HCF(8915,962) .
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Frequently Asked Questions on HCF of 8915, 962 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 8915, 962?
Answer: HCF of 8915, 962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8915, 962 using Euclid's Algorithm?
Answer: For arbitrary numbers 8915, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.