Highest Common Factor of 5346, 1085 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 5346, 1085 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5346, 1085 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 5346, 1085 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 5346, 1085 is 1.
HCF(5346, 1085) = 1
HCF of 5346, 1085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5346, 1085 is 1.
Highest Common Factor of 5346,1085 is 1
Step 1: Since 5346 > 1085, we apply the division lemma to 5346 and 1085, to get
5346 = 1085 x 4 + 1006
Step 2: Since the reminder 1085 ≠ 0, we apply division lemma to 1006 and 1085, to get
1085 = 1006 x 1 + 79
Step 3: We consider the new divisor 1006 and the new remainder 79, and apply the division lemma to get
1006 = 79 x 12 + 58
We consider the new divisor 79 and the new remainder 58,and apply the division lemma to get
79 = 58 x 1 + 21
We consider the new divisor 58 and the new remainder 21,and apply the division lemma to get
58 = 21 x 2 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5346 and 1085 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(58,21) = HCF(79,58) = HCF(1006,79) = HCF(1085,1006) = HCF(5346,1085) .
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Frequently Asked Questions on HCF of 5346, 1085 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 5346, 1085?
Answer: HCF of 5346, 1085 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5346, 1085 using Euclid's Algorithm?
Answer: For arbitrary numbers 5346, 1085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.