Highest Common Factor of 7238, 2864 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 7238, 2864 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7238, 2864 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 7238, 2864 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 7238, 2864 is 2.
HCF(7238, 2864) = 2
HCF of 7238, 2864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7238, 2864 is 2.
Highest Common Factor of 7238,2864 is 2
Step 1: Since 7238 > 2864, we apply the division lemma to 7238 and 2864, to get
7238 = 2864 x 2 + 1510
Step 2: Since the reminder 2864 ≠ 0, we apply division lemma to 1510 and 2864, to get
2864 = 1510 x 1 + 1354
Step 3: We consider the new divisor 1510 and the new remainder 1354, and apply the division lemma to get
1510 = 1354 x 1 + 156
We consider the new divisor 1354 and the new remainder 156,and apply the division lemma to get
1354 = 156 x 8 + 106
We consider the new divisor 156 and the new remainder 106,and apply the division lemma to get
156 = 106 x 1 + 50
We consider the new divisor 106 and the new remainder 50,and apply the division lemma to get
106 = 50 x 2 + 6
We consider the new divisor 50 and the new remainder 6,and apply the division lemma to get
50 = 6 x 8 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7238 and 2864 is 2
Notice that 2 = HCF(6,2) = HCF(50,6) = HCF(106,50) = HCF(156,106) = HCF(1354,156) = HCF(1510,1354) = HCF(2864,1510) = HCF(7238,2864) .
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Frequently Asked Questions on HCF of 7238, 2864 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 7238, 2864?
Answer: HCF of 7238, 2864 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7238, 2864 using Euclid's Algorithm?
Answer: For arbitrary numbers 7238, 2864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
