Highest Common Factor of 824, 618, 850, 458 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 824, 618, 850, 458 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 618, 850, 458 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 824, 618, 850, 458 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 824, 618, 850, 458 is 2.
HCF(824, 618, 850, 458) = 2
HCF of 824, 618, 850, 458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 824, 618, 850, 458 is 2.
Highest Common Factor of 824,618,850,458 is 2
Step 1: Since 824 > 618, we apply the division lemma to 824 and 618, to get
824 = 618 x 1 + 206
Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 206 and 618, to get
618 = 206 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 206, the HCF of 824 and 618 is 206
Notice that 206 = HCF(618,206) = HCF(824,618) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 850 > 206, we apply the division lemma to 850 and 206, to get
850 = 206 x 4 + 26
Step 2: Since the reminder 206 ≠ 0, we apply division lemma to 26 and 206, to get
206 = 26 x 7 + 24
Step 3: We consider the new divisor 26 and the new remainder 24, and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2, and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 206 and 850 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(206,26) = HCF(850,206) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 458 > 2, we apply the division lemma to 458 and 2, to get
458 = 2 x 229 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 458 is 2
Notice that 2 = HCF(458,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 824, 618, 850, 458 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 824, 618, 850, 458?
Answer: HCF of 824, 618, 850, 458 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 618, 850, 458 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 618, 850, 458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.