Highest Common Factor of 1126, 3115 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 1126, 3115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1126, 3115 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 1126, 3115 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 1126, 3115 is 1.
HCF(1126, 3115) = 1
HCF of 1126, 3115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1126, 3115 is 1.
Highest Common Factor of 1126,3115 is 1
Step 1: Since 3115 > 1126, we apply the division lemma to 3115 and 1126, to get
3115 = 1126 x 2 + 863
Step 2: Since the reminder 1126 ≠ 0, we apply division lemma to 863 and 1126, to get
1126 = 863 x 1 + 263
Step 3: We consider the new divisor 863 and the new remainder 263, and apply the division lemma to get
863 = 263 x 3 + 74
We consider the new divisor 263 and the new remainder 74,and apply the division lemma to get
263 = 74 x 3 + 41
We consider the new divisor 74 and the new remainder 41,and apply the division lemma to get
74 = 41 x 1 + 33
We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get
41 = 33 x 1 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 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 1126 and 3115 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(74,41) = HCF(263,74) = HCF(863,263) = HCF(1126,863) = HCF(3115,1126) .
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Frequently Asked Questions on HCF of 1126, 3115 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 1126, 3115?
Answer: HCF of 1126, 3115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1126, 3115 using Euclid's Algorithm?
Answer: For arbitrary numbers 1126, 3115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
