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 9577, 6591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9577, 6591 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 9577, 6591 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 9577, 6591 is 1.
HCF(9577, 6591) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9577, 6591 is 1.
Step 1: Since 9577 > 6591, we apply the division lemma to 9577 and 6591, to get
9577 = 6591 x 1 + 2986
Step 2: Since the reminder 6591 ≠ 0, we apply division lemma to 2986 and 6591, to get
6591 = 2986 x 2 + 619
Step 3: We consider the new divisor 2986 and the new remainder 619, and apply the division lemma to get
2986 = 619 x 4 + 510
We consider the new divisor 619 and the new remainder 510,and apply the division lemma to get
619 = 510 x 1 + 109
We consider the new divisor 510 and the new remainder 109,and apply the division lemma to get
510 = 109 x 4 + 74
We consider the new divisor 109 and the new remainder 74,and apply the division lemma to get
109 = 74 x 1 + 35
We consider the new divisor 74 and the new remainder 35,and apply the division lemma to get
74 = 35 x 2 + 4
We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get
35 = 4 x 8 + 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 9577 and 6591 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(74,35) = HCF(109,74) = HCF(510,109) = HCF(619,510) = HCF(2986,619) = HCF(6591,2986) = HCF(9577,6591) .
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 9577, 6591?
Answer: HCF of 9577, 6591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9577, 6591 using Euclid's Algorithm?
Answer: For arbitrary numbers 9577, 6591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.