Highest Common Factor of 715, 5283 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 715, 5283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 715, 5283 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 715, 5283 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 715, 5283 is 1.
HCF(715, 5283) = 1
HCF of 715, 5283 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 715, 5283 is 1.
Highest Common Factor of 715,5283 is 1
Step 1: Since 5283 > 715, we apply the division lemma to 5283 and 715, to get
5283 = 715 x 7 + 278
Step 2: Since the reminder 715 ≠ 0, we apply division lemma to 278 and 715, to get
715 = 278 x 2 + 159
Step 3: We consider the new divisor 278 and the new remainder 159, and apply the division lemma to get
278 = 159 x 1 + 119
We consider the new divisor 159 and the new remainder 119,and apply the division lemma to get
159 = 119 x 1 + 40
We consider the new divisor 119 and the new remainder 40,and apply the division lemma to get
119 = 40 x 2 + 39
We consider the new divisor 40 and the new remainder 39,and apply the division lemma to get
40 = 39 x 1 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 715 and 5283 is 1
Notice that 1 = HCF(39,1) = HCF(40,39) = HCF(119,40) = HCF(159,119) = HCF(278,159) = HCF(715,278) = HCF(5283,715) .
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Frequently Asked Questions on HCF of 715, 5283 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 715, 5283?
Answer: HCF of 715, 5283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 715, 5283 using Euclid's Algorithm?
Answer: For arbitrary numbers 715, 5283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.