Highest Common Factor of 850, 950, 82 using Euclid's algorithm
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, 950, 82 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 950, 82 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 850, 950, 82 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, 950, 82 is 2.
HCF(850, 950, 82) = 2
HCF of 850, 950, 82 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 950, 82 is 2.
Highest Common Factor of 850,950,82 is 2
Step 1: Since 950 > 850, we apply the division lemma to 950 and 850, to get
950 = 850 x 1 + 100
Step 2: Since the reminder 850 ≠ 0, we apply division lemma to 100 and 850, to get
850 = 100 x 8 + 50
Step 3: We consider the new divisor 100 and the new remainder 50, and apply the division lemma to get
100 = 50 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 850 and 950 is 50
Notice that 50 = HCF(100,50) = HCF(850,100) = HCF(950,850) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82 > 50, we apply the division lemma to 82 and 50, to get
82 = 50 x 1 + 32
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 32 and 50, to get
50 = 32 x 1 + 18
Step 3: We consider the new divisor 32 and the new remainder 18, and apply the division lemma to get
32 = 18 x 1 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 50 and 82 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(50,32) = HCF(82,50) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 850, 950, 82 using Euclid's Algorithm
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, 950, 82?
Answer: HCF of 850, 950, 82 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 950, 82 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 950, 82 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.