Highest Common Factor of 3484, 9058 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 3484, 9058 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3484, 9058 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 3484, 9058 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 3484, 9058 is 2.
HCF(3484, 9058) = 2
HCF of 3484, 9058 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3484, 9058 is 2.
Highest Common Factor of 3484,9058 is 2
Step 1: Since 9058 > 3484, we apply the division lemma to 9058 and 3484, to get
9058 = 3484 x 2 + 2090
Step 2: Since the reminder 3484 ≠ 0, we apply division lemma to 2090 and 3484, to get
3484 = 2090 x 1 + 1394
Step 3: We consider the new divisor 2090 and the new remainder 1394, and apply the division lemma to get
2090 = 1394 x 1 + 696
We consider the new divisor 1394 and the new remainder 696,and apply the division lemma to get
1394 = 696 x 2 + 2
We consider the new divisor 696 and the new remainder 2,and apply the division lemma to get
696 = 2 x 348 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3484 and 9058 is 2
Notice that 2 = HCF(696,2) = HCF(1394,696) = HCF(2090,1394) = HCF(3484,2090) = HCF(9058,3484) .
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Frequently Asked Questions on HCF of 3484, 9058 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 3484, 9058?
Answer: HCF of 3484, 9058 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3484, 9058 using Euclid's Algorithm?
Answer: For arbitrary numbers 3484, 9058 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.