Highest Common Factor of 4368, 8502, 93913 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 4368, 8502, 93913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4368, 8502, 93913 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 4368, 8502, 93913 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 4368, 8502, 93913 is 1.
HCF(4368, 8502, 93913) = 1
HCF of 4368, 8502, 93913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4368, 8502, 93913 is 1.
Highest Common Factor of 4368,8502,93913 is 1
Step 1: Since 8502 > 4368, we apply the division lemma to 8502 and 4368, to get
8502 = 4368 x 1 + 4134
Step 2: Since the reminder 4368 ≠ 0, we apply division lemma to 4134 and 4368, to get
4368 = 4134 x 1 + 234
Step 3: We consider the new divisor 4134 and the new remainder 234, and apply the division lemma to get
4134 = 234 x 17 + 156
We consider the new divisor 234 and the new remainder 156,and apply the division lemma to get
234 = 156 x 1 + 78
We consider the new divisor 156 and the new remainder 78,and apply the division lemma to get
156 = 78 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 78, the HCF of 4368 and 8502 is 78
Notice that 78 = HCF(156,78) = HCF(234,156) = HCF(4134,234) = HCF(4368,4134) = HCF(8502,4368) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93913 > 78, we apply the division lemma to 93913 and 78, to get
93913 = 78 x 1204 + 1
Step 2: Since the reminder 78 ≠ 0, we apply division lemma to 1 and 78, to get
78 = 1 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 78 and 93913 is 1
Notice that 1 = HCF(78,1) = HCF(93913,78) .
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Frequently Asked Questions on HCF of 4368, 8502, 93913 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 4368, 8502, 93913?
Answer: HCF of 4368, 8502, 93913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4368, 8502, 93913 using Euclid's Algorithm?
Answer: For arbitrary numbers 4368, 8502, 93913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.