Highest Common Factor of 1116, 6415 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 1116, 6415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1116, 6415 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 1116, 6415 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 1116, 6415 is 1.
HCF(1116, 6415) = 1
HCF of 1116, 6415 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1116, 6415 is 1.
Highest Common Factor of 1116,6415 is 1
Step 1: Since 6415 > 1116, we apply the division lemma to 6415 and 1116, to get
6415 = 1116 x 5 + 835
Step 2: Since the reminder 1116 ≠ 0, we apply division lemma to 835 and 1116, to get
1116 = 835 x 1 + 281
Step 3: We consider the new divisor 835 and the new remainder 281, and apply the division lemma to get
835 = 281 x 2 + 273
We consider the new divisor 281 and the new remainder 273,and apply the division lemma to get
281 = 273 x 1 + 8
We consider the new divisor 273 and the new remainder 8,and apply the division lemma to get
273 = 8 x 34 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1116 and 6415 is 1
Notice that 1 = HCF(8,1) = HCF(273,8) = HCF(281,273) = HCF(835,281) = HCF(1116,835) = HCF(6415,1116) .
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Frequently Asked Questions on HCF of 1116, 6415 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 1116, 6415?
Answer: HCF of 1116, 6415 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1116, 6415 using Euclid's Algorithm?
Answer: For arbitrary numbers 1116, 6415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.