Highest Common Factor of 7002, 5071 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 7002, 5071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7002, 5071 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 7002, 5071 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 7002, 5071 is 1.
HCF(7002, 5071) = 1
HCF of 7002, 5071 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7002, 5071 is 1.
Highest Common Factor of 7002,5071 is 1
Step 1: Since 7002 > 5071, we apply the division lemma to 7002 and 5071, to get
7002 = 5071 x 1 + 1931
Step 2: Since the reminder 5071 ≠ 0, we apply division lemma to 1931 and 5071, to get
5071 = 1931 x 2 + 1209
Step 3: We consider the new divisor 1931 and the new remainder 1209, and apply the division lemma to get
1931 = 1209 x 1 + 722
We consider the new divisor 1209 and the new remainder 722,and apply the division lemma to get
1209 = 722 x 1 + 487
We consider the new divisor 722 and the new remainder 487,and apply the division lemma to get
722 = 487 x 1 + 235
We consider the new divisor 487 and the new remainder 235,and apply the division lemma to get
487 = 235 x 2 + 17
We consider the new divisor 235 and the new remainder 17,and apply the division lemma to get
235 = 17 x 13 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7002 and 5071 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(235,17) = HCF(487,235) = HCF(722,487) = HCF(1209,722) = HCF(1931,1209) = HCF(5071,1931) = HCF(7002,5071) .
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Frequently Asked Questions on HCF of 7002, 5071 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 7002, 5071?
Answer: HCF of 7002, 5071 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7002, 5071 using Euclid's Algorithm?
Answer: For arbitrary numbers 7002, 5071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.