Highest Common Factor of 962, 95538 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, 95538 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 95538 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, 95538 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, 95538 is 2.
HCF(962, 95538) = 2
HCF of 962, 95538 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, 95538 is 2.
Highest Common Factor of 962,95538 is 2
Step 1: Since 95538 > 962, we apply the division lemma to 95538 and 962, to get
95538 = 962 x 99 + 300
Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 300 and 962, to get
962 = 300 x 3 + 62
Step 3: We consider the new divisor 300 and the new remainder 62, and apply the division lemma to get
300 = 62 x 4 + 52
We consider the new divisor 62 and the new remainder 52,and apply the division lemma to get
62 = 52 x 1 + 10
We consider the new divisor 52 and the new remainder 10,and apply the division lemma to get
52 = 10 x 5 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 962 and 95538 is 2
Notice that 2 = HCF(10,2) = HCF(52,10) = HCF(62,52) = HCF(300,62) = HCF(962,300) = HCF(95538,962) .
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Frequently Asked Questions on HCF of 962, 95538 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, 95538?
Answer: HCF of 962, 95538 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 95538 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 95538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.