Highest Common Factor of 968, 95562 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 968, 95562 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 95562 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 968, 95562 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 968, 95562 is 2.
HCF(968, 95562) = 2
HCF of 968, 95562 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 95562 is 2.
Highest Common Factor of 968,95562 is 2
Step 1: Since 95562 > 968, we apply the division lemma to 95562 and 968, to get
95562 = 968 x 98 + 698
Step 2: Since the reminder 968 ≠ 0, we apply division lemma to 698 and 968, to get
968 = 698 x 1 + 270
Step 3: We consider the new divisor 698 and the new remainder 270, and apply the division lemma to get
698 = 270 x 2 + 158
We consider the new divisor 270 and the new remainder 158,and apply the division lemma to get
270 = 158 x 1 + 112
We consider the new divisor 158 and the new remainder 112,and apply the division lemma to get
158 = 112 x 1 + 46
We consider the new divisor 112 and the new remainder 46,and apply the division lemma to get
112 = 46 x 2 + 20
We consider the new divisor 46 and the new remainder 20,and apply the division lemma to get
46 = 20 x 2 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 968 and 95562 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(46,20) = HCF(112,46) = HCF(158,112) = HCF(270,158) = HCF(698,270) = HCF(968,698) = HCF(95562,968) .
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Frequently Asked Questions on HCF of 968, 95562 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 968, 95562?
Answer: HCF of 968, 95562 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 95562 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 95562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.