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 718, 89734 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 89734 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 718, 89734 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 718, 89734 is 2.
HCF(718, 89734) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 718, 89734 is 2.
Step 1: Since 89734 > 718, we apply the division lemma to 89734 and 718, to get
89734 = 718 x 124 + 702
Step 2: Since the reminder 718 ≠ 0, we apply division lemma to 702 and 718, to get
718 = 702 x 1 + 16
Step 3: We consider the new divisor 702 and the new remainder 16, and apply the division lemma to get
702 = 16 x 43 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 718 and 89734 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(702,16) = HCF(718,702) = HCF(89734,718) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 718, 89734?
Answer: HCF of 718, 89734 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 89734 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 89734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.