Highest Common Factor of 1095, 4112, 46398 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 1095, 4112, 46398 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1095, 4112, 46398 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 1095, 4112, 46398 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 1095, 4112, 46398 is 1.
HCF(1095, 4112, 46398) = 1
HCF of 1095, 4112, 46398 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1095, 4112, 46398 is 1.
Highest Common Factor of 1095,4112,46398 is 1
Step 1: Since 4112 > 1095, we apply the division lemma to 4112 and 1095, to get
4112 = 1095 x 3 + 827
Step 2: Since the reminder 1095 ≠ 0, we apply division lemma to 827 and 1095, to get
1095 = 827 x 1 + 268
Step 3: We consider the new divisor 827 and the new remainder 268, and apply the division lemma to get
827 = 268 x 3 + 23
We consider the new divisor 268 and the new remainder 23,and apply the division lemma to get
268 = 23 x 11 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1095 and 4112 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(268,23) = HCF(827,268) = HCF(1095,827) = HCF(4112,1095) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46398 > 1, we apply the division lemma to 46398 and 1, to get
46398 = 1 x 46398 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46398 is 1
Notice that 1 = HCF(46398,1) .
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Frequently Asked Questions on HCF of 1095, 4112, 46398 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 1095, 4112, 46398?
Answer: HCF of 1095, 4112, 46398 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1095, 4112, 46398 using Euclid's Algorithm?
Answer: For arbitrary numbers 1095, 4112, 46398 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.