Highest Common Factor of 2327, 4296, 93192 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 2327, 4296, 93192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2327, 4296, 93192 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 2327, 4296, 93192 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 2327, 4296, 93192 is 1.
HCF(2327, 4296, 93192) = 1
HCF of 2327, 4296, 93192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2327, 4296, 93192 is 1.
Highest Common Factor of 2327,4296,93192 is 1
Step 1: Since 4296 > 2327, we apply the division lemma to 4296 and 2327, to get
4296 = 2327 x 1 + 1969
Step 2: Since the reminder 2327 ≠ 0, we apply division lemma to 1969 and 2327, to get
2327 = 1969 x 1 + 358
Step 3: We consider the new divisor 1969 and the new remainder 358, and apply the division lemma to get
1969 = 358 x 5 + 179
We consider the new divisor 358 and the new remainder 179, and apply the division lemma to get
358 = 179 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 179, the HCF of 2327 and 4296 is 179
Notice that 179 = HCF(358,179) = HCF(1969,358) = HCF(2327,1969) = HCF(4296,2327) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93192 > 179, we apply the division lemma to 93192 and 179, to get
93192 = 179 x 520 + 112
Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 112 and 179, to get
179 = 112 x 1 + 67
Step 3: We consider the new divisor 112 and the new remainder 67, and apply the division lemma to get
112 = 67 x 1 + 45
We consider the new divisor 67 and the new remainder 45,and apply the division lemma to get
67 = 45 x 1 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 179 and 93192 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(67,45) = HCF(112,67) = HCF(179,112) = HCF(93192,179) .
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Frequently Asked Questions on HCF of 2327, 4296, 93192 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 2327, 4296, 93192?
Answer: HCF of 2327, 4296, 93192 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2327, 4296, 93192 using Euclid's Algorithm?
Answer: For arbitrary numbers 2327, 4296, 93192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.