Highest Common Factor of 715, 914, 71 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, 914, 71 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 715, 914, 71 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, 914, 71 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, 914, 71 is 1.
HCF(715, 914, 71) = 1
HCF of 715, 914, 71 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, 914, 71 is 1.
Highest Common Factor of 715,914,71 is 1
Step 1: Since 914 > 715, we apply the division lemma to 914 and 715, to get
914 = 715 x 1 + 199
Step 2: Since the reminder 715 ≠ 0, we apply division lemma to 199 and 715, to get
715 = 199 x 3 + 118
Step 3: We consider the new divisor 199 and the new remainder 118, and apply the division lemma to get
199 = 118 x 1 + 81
We consider the new divisor 118 and the new remainder 81,and apply the division lemma to get
118 = 81 x 1 + 37
We consider the new divisor 81 and the new remainder 37,and apply the division lemma to get
81 = 37 x 2 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 715 and 914 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(81,37) = HCF(118,81) = HCF(199,118) = HCF(715,199) = HCF(914,715) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71 > 1, we apply the division lemma to 71 and 1, to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71 is 1
Notice that 1 = HCF(71,1) .
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Frequently Asked Questions on HCF of 715, 914, 71 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, 914, 71?
Answer: HCF of 715, 914, 71 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 715, 914, 71 using Euclid's Algorithm?
Answer: For arbitrary numbers 715, 914, 71 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.