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 4346, 5543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4346, 5543 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 4346, 5543 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 4346, 5543 is 1.
HCF(4346, 5543) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4346, 5543 is 1.
Step 1: Since 5543 > 4346, we apply the division lemma to 5543 and 4346, to get
5543 = 4346 x 1 + 1197
Step 2: Since the reminder 4346 ≠ 0, we apply division lemma to 1197 and 4346, to get
4346 = 1197 x 3 + 755
Step 3: We consider the new divisor 1197 and the new remainder 755, and apply the division lemma to get
1197 = 755 x 1 + 442
We consider the new divisor 755 and the new remainder 442,and apply the division lemma to get
755 = 442 x 1 + 313
We consider the new divisor 442 and the new remainder 313,and apply the division lemma to get
442 = 313 x 1 + 129
We consider the new divisor 313 and the new remainder 129,and apply the division lemma to get
313 = 129 x 2 + 55
We consider the new divisor 129 and the new remainder 55,and apply the division lemma to get
129 = 55 x 2 + 19
We consider the new divisor 55 and the new remainder 19,and apply the division lemma to get
55 = 19 x 2 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 4346 and 5543 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(55,19) = HCF(129,55) = HCF(313,129) = HCF(442,313) = HCF(755,442) = HCF(1197,755) = HCF(4346,1197) = HCF(5543,4346) .
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 4346, 5543?
Answer: HCF of 4346, 5543 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4346, 5543 using Euclid's Algorithm?
Answer: For arbitrary numbers 4346, 5543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.