Highest Common Factor of 5644, 1080 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 5644, 1080 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5644, 1080 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 5644, 1080 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 5644, 1080 is 4.
HCF(5644, 1080) = 4
HCF of 5644, 1080 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5644, 1080 is 4.
Highest Common Factor of 5644,1080 is 4
Step 1: Since 5644 > 1080, we apply the division lemma to 5644 and 1080, to get
5644 = 1080 x 5 + 244
Step 2: Since the reminder 1080 ≠ 0, we apply division lemma to 244 and 1080, to get
1080 = 244 x 4 + 104
Step 3: We consider the new divisor 244 and the new remainder 104, and apply the division lemma to get
244 = 104 x 2 + 36
We consider the new divisor 104 and the new remainder 36,and apply the division lemma to get
104 = 36 x 2 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5644 and 1080 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(104,36) = HCF(244,104) = HCF(1080,244) = HCF(5644,1080) .
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Frequently Asked Questions on HCF of 5644, 1080 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 5644, 1080?
Answer: HCF of 5644, 1080 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5644, 1080 using Euclid's Algorithm?
Answer: For arbitrary numbers 5644, 1080 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.