Highest Common Factor of 5373, 6243, 88623 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 5373, 6243, 88623 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5373, 6243, 88623 is 3 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 5373, 6243, 88623 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 5373, 6243, 88623 is 3.
HCF(5373, 6243, 88623) = 3
HCF of 5373, 6243, 88623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5373, 6243, 88623 is 3.
Highest Common Factor of 5373,6243,88623 is 3
Step 1: Since 6243 > 5373, we apply the division lemma to 6243 and 5373, to get
6243 = 5373 x 1 + 870
Step 2: Since the reminder 5373 ≠ 0, we apply division lemma to 870 and 5373, to get
5373 = 870 x 6 + 153
Step 3: We consider the new divisor 870 and the new remainder 153, and apply the division lemma to get
870 = 153 x 5 + 105
We consider the new divisor 153 and the new remainder 105,and apply the division lemma to get
153 = 105 x 1 + 48
We consider the new divisor 105 and the new remainder 48,and apply the division lemma to get
105 = 48 x 2 + 9
We consider the new divisor 48 and the new remainder 9,and apply the division lemma to get
48 = 9 x 5 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5373 and 6243 is 3
Notice that 3 = HCF(9,3) = HCF(48,9) = HCF(105,48) = HCF(153,105) = HCF(870,153) = HCF(5373,870) = HCF(6243,5373) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88623 > 3, we apply the division lemma to 88623 and 3, to get
88623 = 3 x 29541 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 88623 is 3
Notice that 3 = HCF(88623,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5373, 6243, 88623 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 5373, 6243, 88623?
Answer: HCF of 5373, 6243, 88623 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5373, 6243, 88623 using Euclid's Algorithm?
Answer: For arbitrary numbers 5373, 6243, 88623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.