Highest Common Factor of 744, 868 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 744, 868 i.e. 124 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 868 is 124 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 744, 868 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 744, 868 is 124.
HCF(744, 868) = 124
HCF of 744, 868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 868 is 124.
Highest Common Factor of 744,868 is 124
Step 1: Since 868 > 744, we apply the division lemma to 868 and 744, to get
868 = 744 x 1 + 124
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 124 and 744, to get
744 = 124 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 744 and 868 is 124
Notice that 124 = HCF(744,124) = HCF(868,744) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 744, 868 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 744, 868?
Answer: HCF of 744, 868 is 124 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 868 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.