Highest Common Factor of 424, 712 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 424, 712 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 424, 712 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 424, 712 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 424, 712 is 8.
HCF(424, 712) = 8
HCF of 424, 712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 424, 712 is 8.
Highest Common Factor of 424,712 is 8
Step 1: Since 712 > 424, we apply the division lemma to 712 and 424, to get
712 = 424 x 1 + 288
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 288 and 424, to get
424 = 288 x 1 + 136
Step 3: We consider the new divisor 288 and the new remainder 136, and apply the division lemma to get
288 = 136 x 2 + 16
We consider the new divisor 136 and the new remainder 16,and apply the division lemma to get
136 = 16 x 8 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 424 and 712 is 8
Notice that 8 = HCF(16,8) = HCF(136,16) = HCF(288,136) = HCF(424,288) = HCF(712,424) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 424, 712 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 424, 712?
Answer: HCF of 424, 712 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 424, 712 using Euclid's Algorithm?
Answer: For arbitrary numbers 424, 712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.