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 7637, 9601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7637, 9601 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 7637, 9601 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 7637, 9601 is 1.
HCF(7637, 9601) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7637, 9601 is 1.
Step 1: Since 9601 > 7637, we apply the division lemma to 9601 and 7637, to get
9601 = 7637 x 1 + 1964
Step 2: Since the reminder 7637 ≠ 0, we apply division lemma to 1964 and 7637, to get
7637 = 1964 x 3 + 1745
Step 3: We consider the new divisor 1964 and the new remainder 1745, and apply the division lemma to get
1964 = 1745 x 1 + 219
We consider the new divisor 1745 and the new remainder 219,and apply the division lemma to get
1745 = 219 x 7 + 212
We consider the new divisor 219 and the new remainder 212,and apply the division lemma to get
219 = 212 x 1 + 7
We consider the new divisor 212 and the new remainder 7,and apply the division lemma to get
212 = 7 x 30 + 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 7637 and 9601 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(212,7) = HCF(219,212) = HCF(1745,219) = HCF(1964,1745) = HCF(7637,1964) = HCF(9601,7637) .
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 7637, 9601?
Answer: HCF of 7637, 9601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7637, 9601 using Euclid's Algorithm?
Answer: For arbitrary numbers 7637, 9601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.