Highest Common Factor of 4560, 5540 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 4560, 5540 i.e. 20 the largest integer that leaves a remainder zero for all numbers.
HCF of 4560, 5540 is 20 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 4560, 5540 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 4560, 5540 is 20.
HCF(4560, 5540) = 20
HCF of 4560, 5540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4560, 5540 is 20.
Highest Common Factor of 4560,5540 is 20
Step 1: Since 5540 > 4560, we apply the division lemma to 5540 and 4560, to get
5540 = 4560 x 1 + 980
Step 2: Since the reminder 4560 ≠ 0, we apply division lemma to 980 and 4560, to get
4560 = 980 x 4 + 640
Step 3: We consider the new divisor 980 and the new remainder 640, and apply the division lemma to get
980 = 640 x 1 + 340
We consider the new divisor 640 and the new remainder 340,and apply the division lemma to get
640 = 340 x 1 + 300
We consider the new divisor 340 and the new remainder 300,and apply the division lemma to get
340 = 300 x 1 + 40
We consider the new divisor 300 and the new remainder 40,and apply the division lemma to get
300 = 40 x 7 + 20
We consider the new divisor 40 and the new remainder 20,and apply the division lemma to get
40 = 20 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 4560 and 5540 is 20
Notice that 20 = HCF(40,20) = HCF(300,40) = HCF(340,300) = HCF(640,340) = HCF(980,640) = HCF(4560,980) = HCF(5540,4560) .
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Frequently Asked Questions on HCF of 4560, 5540 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 4560, 5540?
Answer: HCF of 4560, 5540 is 20 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4560, 5540 using Euclid's Algorithm?
Answer: For arbitrary numbers 4560, 5540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.