Highest Common Factor of 5006, 7085 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 5006, 7085 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5006, 7085 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 5006, 7085 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 5006, 7085 is 1.
HCF(5006, 7085) = 1
HCF of 5006, 7085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5006, 7085 is 1.
Highest Common Factor of 5006,7085 is 1
Step 1: Since 7085 > 5006, we apply the division lemma to 7085 and 5006, to get
7085 = 5006 x 1 + 2079
Step 2: Since the reminder 5006 ≠ 0, we apply division lemma to 2079 and 5006, to get
5006 = 2079 x 2 + 848
Step 3: We consider the new divisor 2079 and the new remainder 848, and apply the division lemma to get
2079 = 848 x 2 + 383
We consider the new divisor 848 and the new remainder 383,and apply the division lemma to get
848 = 383 x 2 + 82
We consider the new divisor 383 and the new remainder 82,and apply the division lemma to get
383 = 82 x 4 + 55
We consider the new divisor 82 and the new remainder 55,and apply the division lemma to get
82 = 55 x 1 + 27
We consider the new divisor 55 and the new remainder 27,and apply the division lemma to get
55 = 27 x 2 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5006 and 7085 is 1
Notice that 1 = HCF(27,1) = HCF(55,27) = HCF(82,55) = HCF(383,82) = HCF(848,383) = HCF(2079,848) = HCF(5006,2079) = HCF(7085,5006) .
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Frequently Asked Questions on HCF of 5006, 7085 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 5006, 7085?
Answer: HCF of 5006, 7085 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5006, 7085 using Euclid's Algorithm?
Answer: For arbitrary numbers 5006, 7085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
