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, 7050 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 7050 is 2 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, 7050 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, 7050 is 2.
HCF(596, 7050) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 7050 is 2.
Step 1: Since 7050 > 596, we apply the division lemma to 7050 and 596, to get
7050 = 596 x 11 + 494
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 494 and 596, to get
596 = 494 x 1 + 102
Step 3: We consider the new divisor 494 and the new remainder 102, and apply the division lemma to get
494 = 102 x 4 + 86
We consider the new divisor 102 and the new remainder 86,and apply the division lemma to get
102 = 86 x 1 + 16
We consider the new divisor 86 and the new remainder 16,and apply the division lemma to get
86 = 16 x 5 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 596 and 7050 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(86,16) = HCF(102,86) = HCF(494,102) = HCF(596,494) = HCF(7050,596) .
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, 7050?
Answer: HCF of 596, 7050 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 7050 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 7050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.