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 9549, 5746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9549, 5746 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 9549, 5746 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 9549, 5746 is 1.
HCF(9549, 5746) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9549, 5746 is 1.
Step 1: Since 9549 > 5746, we apply the division lemma to 9549 and 5746, to get
9549 = 5746 x 1 + 3803
Step 2: Since the reminder 5746 ≠ 0, we apply division lemma to 3803 and 5746, to get
5746 = 3803 x 1 + 1943
Step 3: We consider the new divisor 3803 and the new remainder 1943, and apply the division lemma to get
3803 = 1943 x 1 + 1860
We consider the new divisor 1943 and the new remainder 1860,and apply the division lemma to get
1943 = 1860 x 1 + 83
We consider the new divisor 1860 and the new remainder 83,and apply the division lemma to get
1860 = 83 x 22 + 34
We consider the new divisor 83 and the new remainder 34,and apply the division lemma to get
83 = 34 x 2 + 15
We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get
34 = 15 x 2 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 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 9549 and 5746 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(83,34) = HCF(1860,83) = HCF(1943,1860) = HCF(3803,1943) = HCF(5746,3803) = HCF(9549,5746) .
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 9549, 5746?
Answer: HCF of 9549, 5746 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9549, 5746 using Euclid's Algorithm?
Answer: For arbitrary numbers 9549, 5746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.