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 3189, 5474 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3189, 5474 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 3189, 5474 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 3189, 5474 is 1.
HCF(3189, 5474) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3189, 5474 is 1.
Step 1: Since 5474 > 3189, we apply the division lemma to 5474 and 3189, to get
5474 = 3189 x 1 + 2285
Step 2: Since the reminder 3189 ≠ 0, we apply division lemma to 2285 and 3189, to get
3189 = 2285 x 1 + 904
Step 3: We consider the new divisor 2285 and the new remainder 904, and apply the division lemma to get
2285 = 904 x 2 + 477
We consider the new divisor 904 and the new remainder 477,and apply the division lemma to get
904 = 477 x 1 + 427
We consider the new divisor 477 and the new remainder 427,and apply the division lemma to get
477 = 427 x 1 + 50
We consider the new divisor 427 and the new remainder 50,and apply the division lemma to get
427 = 50 x 8 + 27
We consider the new divisor 50 and the new remainder 27,and apply the division lemma to get
50 = 27 x 1 + 23
We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get
27 = 23 x 1 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 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 3189 and 5474 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(50,27) = HCF(427,50) = HCF(477,427) = HCF(904,477) = HCF(2285,904) = HCF(3189,2285) = HCF(5474,3189) .
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 3189, 5474?
Answer: HCF of 3189, 5474 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3189, 5474 using Euclid's Algorithm?
Answer: For arbitrary numbers 3189, 5474 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.