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 657, 797 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 657, 797 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 657, 797 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 657, 797 is 1.
HCF(657, 797) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 657, 797 is 1.
Step 1: Since 797 > 657, we apply the division lemma to 797 and 657, to get
797 = 657 x 1 + 140
Step 2: Since the reminder 657 ≠ 0, we apply division lemma to 140 and 657, to get
657 = 140 x 4 + 97
Step 3: We consider the new divisor 140 and the new remainder 97, and apply the division lemma to get
140 = 97 x 1 + 43
We consider the new divisor 97 and the new remainder 43,and apply the division lemma to get
97 = 43 x 2 + 11
We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get
43 = 11 x 3 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 657 and 797 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(97,43) = HCF(140,97) = HCF(657,140) = HCF(797,657) .
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 657, 797?
Answer: HCF of 657, 797 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 657, 797 using Euclid's Algorithm?
Answer: For arbitrary numbers 657, 797 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.