Highest Common Factor of 7697, 7201 using Euclid's algorithm
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 7697, 7201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7697, 7201 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 7697, 7201 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 7697, 7201 is 1.
HCF(7697, 7201) = 1
HCF of 7697, 7201 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7697, 7201 is 1.
Highest Common Factor of 7697,7201 is 1
Step 1: Since 7697 > 7201, we apply the division lemma to 7697 and 7201, to get
7697 = 7201 x 1 + 496
Step 2: Since the reminder 7201 ≠ 0, we apply division lemma to 496 and 7201, to get
7201 = 496 x 14 + 257
Step 3: We consider the new divisor 496 and the new remainder 257, and apply the division lemma to get
496 = 257 x 1 + 239
We consider the new divisor 257 and the new remainder 239,and apply the division lemma to get
257 = 239 x 1 + 18
We consider the new divisor 239 and the new remainder 18,and apply the division lemma to get
239 = 18 x 13 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7697 and 7201 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(239,18) = HCF(257,239) = HCF(496,257) = HCF(7201,496) = HCF(7697,7201) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7697, 7201 using Euclid's Algorithm
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 7697, 7201?
Answer: HCF of 7697, 7201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7697, 7201 using Euclid's Algorithm?
Answer: For arbitrary numbers 7697, 7201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.