Highest Common Factor of 2320, 8898, 96096 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 2320, 8898, 96096 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2320, 8898, 96096 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 2320, 8898, 96096 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 2320, 8898, 96096 is 2.
HCF(2320, 8898, 96096) = 2
HCF of 2320, 8898, 96096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2320, 8898, 96096 is 2.
Highest Common Factor of 2320,8898,96096 is 2
Step 1: Since 8898 > 2320, we apply the division lemma to 8898 and 2320, to get
8898 = 2320 x 3 + 1938
Step 2: Since the reminder 2320 ≠ 0, we apply division lemma to 1938 and 2320, to get
2320 = 1938 x 1 + 382
Step 3: We consider the new divisor 1938 and the new remainder 382, and apply the division lemma to get
1938 = 382 x 5 + 28
We consider the new divisor 382 and the new remainder 28,and apply the division lemma to get
382 = 28 x 13 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2320 and 8898 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(382,28) = HCF(1938,382) = HCF(2320,1938) = HCF(8898,2320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96096 > 2, we apply the division lemma to 96096 and 2, to get
96096 = 2 x 48048 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 96096 is 2
Notice that 2 = HCF(96096,2) .
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Frequently Asked Questions on HCF of 2320, 8898, 96096 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 2320, 8898, 96096?
Answer: HCF of 2320, 8898, 96096 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2320, 8898, 96096 using Euclid's Algorithm?
Answer: For arbitrary numbers 2320, 8898, 96096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.