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 5411, 9647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5411, 9647 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 5411, 9647 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 5411, 9647 is 1.
HCF(5411, 9647) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5411, 9647 is 1.
Step 1: Since 9647 > 5411, we apply the division lemma to 9647 and 5411, to get
9647 = 5411 x 1 + 4236
Step 2: Since the reminder 5411 ≠ 0, we apply division lemma to 4236 and 5411, to get
5411 = 4236 x 1 + 1175
Step 3: We consider the new divisor 4236 and the new remainder 1175, and apply the division lemma to get
4236 = 1175 x 3 + 711
We consider the new divisor 1175 and the new remainder 711,and apply the division lemma to get
1175 = 711 x 1 + 464
We consider the new divisor 711 and the new remainder 464,and apply the division lemma to get
711 = 464 x 1 + 247
We consider the new divisor 464 and the new remainder 247,and apply the division lemma to get
464 = 247 x 1 + 217
We consider the new divisor 247 and the new remainder 217,and apply the division lemma to get
247 = 217 x 1 + 30
We consider the new divisor 217 and the new remainder 30,and apply the division lemma to get
217 = 30 x 7 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5411 and 9647 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(217,30) = HCF(247,217) = HCF(464,247) = HCF(711,464) = HCF(1175,711) = HCF(4236,1175) = HCF(5411,4236) = HCF(9647,5411) .
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 5411, 9647?
Answer: HCF of 5411, 9647 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5411, 9647 using Euclid's Algorithm?
Answer: For arbitrary numbers 5411, 9647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.