Highest Common Factor of 888, 5920 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 888, 5920 i.e. 296 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 5920 is 296 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 888, 5920 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 888, 5920 is 296.
HCF(888, 5920) = 296
HCF of 888, 5920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 888, 5920 is 296.
Highest Common Factor of 888,5920 is 296
Step 1: Since 5920 > 888, we apply the division lemma to 5920 and 888, to get
5920 = 888 x 6 + 592
Step 2: Since the reminder 888 ≠ 0, we apply division lemma to 592 and 888, to get
888 = 592 x 1 + 296
Step 3: We consider the new divisor 592 and the new remainder 296, and apply the division lemma to get
592 = 296 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 296, the HCF of 888 and 5920 is 296
Notice that 296 = HCF(592,296) = HCF(888,592) = HCF(5920,888) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 888, 5920 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 888, 5920?
Answer: HCF of 888, 5920 is 296 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 5920 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 5920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.