Highest Common Factor of 1166, 3484 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 1166, 3484 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1166, 3484 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 1166, 3484 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 1166, 3484 is 2.
HCF(1166, 3484) = 2
HCF of 1166, 3484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1166, 3484 is 2.
Highest Common Factor of 1166,3484 is 2
Step 1: Since 3484 > 1166, we apply the division lemma to 3484 and 1166, to get
3484 = 1166 x 2 + 1152
Step 2: Since the reminder 1166 ≠ 0, we apply division lemma to 1152 and 1166, to get
1166 = 1152 x 1 + 14
Step 3: We consider the new divisor 1152 and the new remainder 14, and apply the division lemma to get
1152 = 14 x 82 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1166 and 3484 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(1152,14) = HCF(1166,1152) = HCF(3484,1166) .
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Frequently Asked Questions on HCF of 1166, 3484 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 1166, 3484?
Answer: HCF of 1166, 3484 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1166, 3484 using Euclid's Algorithm?
Answer: For arbitrary numbers 1166, 3484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
