Highest Common Factor of 6044, 1280 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 6044, 1280 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6044, 1280 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 6044, 1280 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 6044, 1280 is 4.
HCF(6044, 1280) = 4
HCF of 6044, 1280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6044, 1280 is 4.
Highest Common Factor of 6044,1280 is 4
Step 1: Since 6044 > 1280, we apply the division lemma to 6044 and 1280, to get
6044 = 1280 x 4 + 924
Step 2: Since the reminder 1280 ≠ 0, we apply division lemma to 924 and 1280, to get
1280 = 924 x 1 + 356
Step 3: We consider the new divisor 924 and the new remainder 356, and apply the division lemma to get
924 = 356 x 2 + 212
We consider the new divisor 356 and the new remainder 212,and apply the division lemma to get
356 = 212 x 1 + 144
We consider the new divisor 212 and the new remainder 144,and apply the division lemma to get
212 = 144 x 1 + 68
We consider the new divisor 144 and the new remainder 68,and apply the division lemma to get
144 = 68 x 2 + 8
We consider the new divisor 68 and the new remainder 8,and apply the division lemma to get
68 = 8 x 8 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6044 and 1280 is 4
Notice that 4 = HCF(8,4) = HCF(68,8) = HCF(144,68) = HCF(212,144) = HCF(356,212) = HCF(924,356) = HCF(1280,924) = HCF(6044,1280) .
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Frequently Asked Questions on HCF of 6044, 1280 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 6044, 1280?
Answer: HCF of 6044, 1280 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6044, 1280 using Euclid's Algorithm?
Answer: For arbitrary numbers 6044, 1280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.