Highest Common Factor of 718, 24224 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 718, 24224 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 718, 24224 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, 24224 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, 24224 is 2.
HCF(718, 24224) = 2
HCF of 718, 24224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 718, 24224 is 2.
Highest Common Factor of 718,24224 is 2
Step 1: Since 24224 > 718, we apply the division lemma to 24224 and 718, to get
24224 = 718 x 33 + 530
Step 2: Since the reminder 718 ≠ 0, we apply division lemma to 530 and 718, to get
718 = 530 x 1 + 188
Step 3: We consider the new divisor 530 and the new remainder 188, and apply the division lemma to get
530 = 188 x 2 + 154
We consider the new divisor 188 and the new remainder 154,and apply the division lemma to get
188 = 154 x 1 + 34
We consider the new divisor 154 and the new remainder 34,and apply the division lemma to get
154 = 34 x 4 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 718 and 24224 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(154,34) = HCF(188,154) = HCF(530,188) = HCF(718,530) = HCF(24224,718) .
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Frequently Asked Questions on HCF of 718, 24224 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 718, 24224?
Answer: HCF of 718, 24224 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 718, 24224 using Euclid's Algorithm?
Answer: For arbitrary numbers 718, 24224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.