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 850, 1636, 7323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 1636, 7323 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 850, 1636, 7323 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 850, 1636, 7323 is 1.
HCF(850, 1636, 7323) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 1636, 7323 is 1.
Step 1: Since 1636 > 850, we apply the division lemma to 1636 and 850, to get
1636 = 850 x 1 + 786
Step 2: Since the reminder 850 ≠ 0, we apply division lemma to 786 and 850, to get
850 = 786 x 1 + 64
Step 3: We consider the new divisor 786 and the new remainder 64, and apply the division lemma to get
786 = 64 x 12 + 18
We consider the new divisor 64 and the new remainder 18,and apply the division lemma to get
64 = 18 x 3 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 850 and 1636 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(64,18) = HCF(786,64) = HCF(850,786) = HCF(1636,850) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7323 > 2, we apply the division lemma to 7323 and 2, to get
7323 = 2 x 3661 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 7323 is 1
Notice that 1 = HCF(2,1) = HCF(7323,2) .
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 850, 1636, 7323?
Answer: HCF of 850, 1636, 7323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 1636, 7323 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 1636, 7323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.