Highest Common Factor of 5346, 9004 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, 9004 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5346, 9004 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 5346, 9004 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, 9004 is 2.
HCF(5346, 9004) = 2
HCF of 5346, 9004 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, 9004 is 2.
Highest Common Factor of 5346,9004 is 2
Step 1: Since 9004 > 5346, we apply the division lemma to 9004 and 5346, to get
9004 = 5346 x 1 + 3658
Step 2: Since the reminder 5346 ≠ 0, we apply division lemma to 3658 and 5346, to get
5346 = 3658 x 1 + 1688
Step 3: We consider the new divisor 3658 and the new remainder 1688, and apply the division lemma to get
3658 = 1688 x 2 + 282
We consider the new divisor 1688 and the new remainder 282,and apply the division lemma to get
1688 = 282 x 5 + 278
We consider the new divisor 282 and the new remainder 278,and apply the division lemma to get
282 = 278 x 1 + 4
We consider the new divisor 278 and the new remainder 4,and apply the division lemma to get
278 = 4 x 69 + 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 5346 and 9004 is 2
Notice that 2 = HCF(4,2) = HCF(278,4) = HCF(282,278) = HCF(1688,282) = HCF(3658,1688) = HCF(5346,3658) = HCF(9004,5346) .
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Frequently Asked Questions on HCF of 5346, 9004 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, 9004?
Answer: HCF of 5346, 9004 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5346, 9004 using Euclid's Algorithm?
Answer: For arbitrary numbers 5346, 9004 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
