Highest Common Factor of 2715, 4232 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 2715, 4232 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2715, 4232 is 1 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 2715, 4232 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 2715, 4232 is 1.
HCF(2715, 4232) = 1
HCF of 2715, 4232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2715, 4232 is 1.
Highest Common Factor of 2715,4232 is 1
Step 1: Since 4232 > 2715, we apply the division lemma to 4232 and 2715, to get
4232 = 2715 x 1 + 1517
Step 2: Since the reminder 2715 ≠ 0, we apply division lemma to 1517 and 2715, to get
2715 = 1517 x 1 + 1198
Step 3: We consider the new divisor 1517 and the new remainder 1198, and apply the division lemma to get
1517 = 1198 x 1 + 319
We consider the new divisor 1198 and the new remainder 319,and apply the division lemma to get
1198 = 319 x 3 + 241
We consider the new divisor 319 and the new remainder 241,and apply the division lemma to get
319 = 241 x 1 + 78
We consider the new divisor 241 and the new remainder 78,and apply the division lemma to get
241 = 78 x 3 + 7
We consider the new divisor 78 and the new remainder 7,and apply the division lemma to get
78 = 7 x 11 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2715 and 4232 is 1
Notice that 1 = HCF(7,1) = HCF(78,7) = HCF(241,78) = HCF(319,241) = HCF(1198,319) = HCF(1517,1198) = HCF(2715,1517) = HCF(4232,2715) .
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Frequently Asked Questions on HCF of 2715, 4232 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 2715, 4232?
Answer: HCF of 2715, 4232 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2715, 4232 using Euclid's Algorithm?
Answer: For arbitrary numbers 2715, 4232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.