Highest Common Factor of 4028, 3280 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 4028, 3280 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4028, 3280 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 4028, 3280 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 4028, 3280 is 4.
HCF(4028, 3280) = 4
HCF of 4028, 3280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4028, 3280 is 4.
Highest Common Factor of 4028,3280 is 4
Step 1: Since 4028 > 3280, we apply the division lemma to 4028 and 3280, to get
4028 = 3280 x 1 + 748
Step 2: Since the reminder 3280 ≠ 0, we apply division lemma to 748 and 3280, to get
3280 = 748 x 4 + 288
Step 3: We consider the new divisor 748 and the new remainder 288, and apply the division lemma to get
748 = 288 x 2 + 172
We consider the new divisor 288 and the new remainder 172,and apply the division lemma to get
288 = 172 x 1 + 116
We consider the new divisor 172 and the new remainder 116,and apply the division lemma to get
172 = 116 x 1 + 56
We consider the new divisor 116 and the new remainder 56,and apply the division lemma to get
116 = 56 x 2 + 4
We consider the new divisor 56 and the new remainder 4,and apply the division lemma to get
56 = 4 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4028 and 3280 is 4
Notice that 4 = HCF(56,4) = HCF(116,56) = HCF(172,116) = HCF(288,172) = HCF(748,288) = HCF(3280,748) = HCF(4028,3280) .
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Frequently Asked Questions on HCF of 4028, 3280 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 4028, 3280?
Answer: HCF of 4028, 3280 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4028, 3280 using Euclid's Algorithm?
Answer: For arbitrary numbers 4028, 3280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
