Highest Common Factor of 2718, 7232 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 2718, 7232 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2718, 7232 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 2718, 7232 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 2718, 7232 is 2.
HCF(2718, 7232) = 2
HCF of 2718, 7232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2718, 7232 is 2.
Highest Common Factor of 2718,7232 is 2
Step 1: Since 7232 > 2718, we apply the division lemma to 7232 and 2718, to get
7232 = 2718 x 2 + 1796
Step 2: Since the reminder 2718 ≠ 0, we apply division lemma to 1796 and 2718, to get
2718 = 1796 x 1 + 922
Step 3: We consider the new divisor 1796 and the new remainder 922, and apply the division lemma to get
1796 = 922 x 1 + 874
We consider the new divisor 922 and the new remainder 874,and apply the division lemma to get
922 = 874 x 1 + 48
We consider the new divisor 874 and the new remainder 48,and apply the division lemma to get
874 = 48 x 18 + 10
We consider the new divisor 48 and the new remainder 10,and apply the division lemma to get
48 = 10 x 4 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2718 and 7232 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(48,10) = HCF(874,48) = HCF(922,874) = HCF(1796,922) = HCF(2718,1796) = HCF(7232,2718) .
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Frequently Asked Questions on HCF of 2718, 7232 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 2718, 7232?
Answer: HCF of 2718, 7232 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2718, 7232 using Euclid's Algorithm?
Answer: For arbitrary numbers 2718, 7232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.