Highest Common Factor of 3508, 5872, 58428 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 3508, 5872, 58428 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3508, 5872, 58428 is 4 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 3508, 5872, 58428 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 3508, 5872, 58428 is 4.
HCF(3508, 5872, 58428) = 4
HCF of 3508, 5872, 58428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3508, 5872, 58428 is 4.
Highest Common Factor of 3508,5872,58428 is 4
Step 1: Since 5872 > 3508, we apply the division lemma to 5872 and 3508, to get
5872 = 3508 x 1 + 2364
Step 2: Since the reminder 3508 ≠ 0, we apply division lemma to 2364 and 3508, to get
3508 = 2364 x 1 + 1144
Step 3: We consider the new divisor 2364 and the new remainder 1144, and apply the division lemma to get
2364 = 1144 x 2 + 76
We consider the new divisor 1144 and the new remainder 76,and apply the division lemma to get
1144 = 76 x 15 + 4
We consider the new divisor 76 and the new remainder 4,and apply the division lemma to get
76 = 4 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3508 and 5872 is 4
Notice that 4 = HCF(76,4) = HCF(1144,76) = HCF(2364,1144) = HCF(3508,2364) = HCF(5872,3508) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58428 > 4, we apply the division lemma to 58428 and 4, to get
58428 = 4 x 14607 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 58428 is 4
Notice that 4 = HCF(58428,4) .
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Frequently Asked Questions on HCF of 3508, 5872, 58428 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 3508, 5872, 58428?
Answer: HCF of 3508, 5872, 58428 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3508, 5872, 58428 using Euclid's Algorithm?
Answer: For arbitrary numbers 3508, 5872, 58428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.