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 553, 5847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 5847 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 553, 5847 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 553, 5847 is 1.
HCF(553, 5847) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 5847 is 1.
Step 1: Since 5847 > 553, we apply the division lemma to 5847 and 553, to get
5847 = 553 x 10 + 317
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 317 and 553, to get
553 = 317 x 1 + 236
Step 3: We consider the new divisor 317 and the new remainder 236, and apply the division lemma to get
317 = 236 x 1 + 81
We consider the new divisor 236 and the new remainder 81,and apply the division lemma to get
236 = 81 x 2 + 74
We consider the new divisor 81 and the new remainder 74,and apply the division lemma to get
81 = 74 x 1 + 7
We consider the new divisor 74 and the new remainder 7,and apply the division lemma to get
74 = 7 x 10 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 553 and 5847 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(74,7) = HCF(81,74) = HCF(236,81) = HCF(317,236) = HCF(553,317) = HCF(5847,553) .
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 553, 5847?
Answer: HCF of 553, 5847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 5847 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 5847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.