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 8640, 5561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8640, 5561 is 1 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 8640, 5561 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 8640, 5561 is 1.
HCF(8640, 5561) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8640, 5561 is 1.
Step 1: Since 8640 > 5561, we apply the division lemma to 8640 and 5561, to get
8640 = 5561 x 1 + 3079
Step 2: Since the reminder 5561 ≠ 0, we apply division lemma to 3079 and 5561, to get
5561 = 3079 x 1 + 2482
Step 3: We consider the new divisor 3079 and the new remainder 2482, and apply the division lemma to get
3079 = 2482 x 1 + 597
We consider the new divisor 2482 and the new remainder 597,and apply the division lemma to get
2482 = 597 x 4 + 94
We consider the new divisor 597 and the new remainder 94,and apply the division lemma to get
597 = 94 x 6 + 33
We consider the new divisor 94 and the new remainder 33,and apply the division lemma to get
94 = 33 x 2 + 28
We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get
33 = 28 x 1 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8640 and 5561 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(94,33) = HCF(597,94) = HCF(2482,597) = HCF(3079,2482) = HCF(5561,3079) = HCF(8640,5561) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8640, 5561?
Answer: HCF of 8640, 5561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8640, 5561 using Euclid's Algorithm?
Answer: For arbitrary numbers 8640, 5561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.