Highest Common Factor of 9624, 8542 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 9624, 8542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9624, 8542 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 9624, 8542 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 9624, 8542 is 2.
HCF(9624, 8542) = 2
HCF of 9624, 8542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9624, 8542 is 2.
Highest Common Factor of 9624,8542 is 2
Step 1: Since 9624 > 8542, we apply the division lemma to 9624 and 8542, to get
9624 = 8542 x 1 + 1082
Step 2: Since the reminder 8542 ≠ 0, we apply division lemma to 1082 and 8542, to get
8542 = 1082 x 7 + 968
Step 3: We consider the new divisor 1082 and the new remainder 968, and apply the division lemma to get
1082 = 968 x 1 + 114
We consider the new divisor 968 and the new remainder 114,and apply the division lemma to get
968 = 114 x 8 + 56
We consider the new divisor 114 and the new remainder 56,and apply the division lemma to get
114 = 56 x 2 + 2
We consider the new divisor 56 and the new remainder 2,and apply the division lemma to get
56 = 2 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9624 and 8542 is 2
Notice that 2 = HCF(56,2) = HCF(114,56) = HCF(968,114) = HCF(1082,968) = HCF(8542,1082) = HCF(9624,8542) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9624, 8542 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 9624, 8542?
Answer: HCF of 9624, 8542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9624, 8542 using Euclid's Algorithm?
Answer: For arbitrary numbers 9624, 8542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.