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 596, 777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 777 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 596, 777 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 596, 777 is 1.
HCF(596, 777) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 777 is 1.
Step 1: Since 777 > 596, we apply the division lemma to 777 and 596, to get
777 = 596 x 1 + 181
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 181 and 596, to get
596 = 181 x 3 + 53
Step 3: We consider the new divisor 181 and the new remainder 53, and apply the division lemma to get
181 = 53 x 3 + 22
We consider the new divisor 53 and the new remainder 22,and apply the division lemma to get
53 = 22 x 2 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 596 and 777 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(53,22) = HCF(181,53) = HCF(596,181) = HCF(777,596) .
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 596, 777?
Answer: HCF of 596, 777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 777 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.