Highest Common Factor of 824, 888, 320 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, 888, 320 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 888, 320 is 8 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, 888, 320 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, 888, 320 is 8.
HCF(824, 888, 320) = 8
HCF of 824, 888, 320 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, 888, 320 is 8.
Highest Common Factor of 824,888,320 is 8
Step 1: Since 888 > 824, we apply the division lemma to 888 and 824, to get
888 = 824 x 1 + 64
Step 2: Since the reminder 824 ≠ 0, we apply division lemma to 64 and 824, to get
824 = 64 x 12 + 56
Step 3: We consider the new divisor 64 and the new remainder 56, and apply the division lemma to get
64 = 56 x 1 + 8
We consider the new divisor 56 and the new remainder 8, and apply the division lemma to get
56 = 8 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 824 and 888 is 8
Notice that 8 = HCF(56,8) = HCF(64,56) = HCF(824,64) = HCF(888,824) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 320 > 8, we apply the division lemma to 320 and 8, to get
320 = 8 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 320 is 8
Notice that 8 = HCF(320,8) .
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, 888, 320 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, 888, 320?
Answer: HCF of 824, 888, 320 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 888, 320 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 888, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.