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 536, 6806, 7330 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 6806, 7330 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 536, 6806, 7330 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 536, 6806, 7330 is 2.
HCF(536, 6806, 7330) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 536, 6806, 7330 is 2.
Step 1: Since 6806 > 536, we apply the division lemma to 6806 and 536, to get
6806 = 536 x 12 + 374
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 374 and 536, to get
536 = 374 x 1 + 162
Step 3: We consider the new divisor 374 and the new remainder 162, and apply the division lemma to get
374 = 162 x 2 + 50
We consider the new divisor 162 and the new remainder 50,and apply the division lemma to get
162 = 50 x 3 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 536 and 6806 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(162,50) = HCF(374,162) = HCF(536,374) = HCF(6806,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7330 > 2, we apply the division lemma to 7330 and 2, to get
7330 = 2 x 3665 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 7330 is 2
Notice that 2 = HCF(7330,2) .
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 536, 6806, 7330?
Answer: HCF of 536, 6806, 7330 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 6806, 7330 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 6806, 7330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.