Highest Common Factor of 7029, 8485 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 7029, 8485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7029, 8485 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 7029, 8485 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 7029, 8485 is 1.
HCF(7029, 8485) = 1
HCF of 7029, 8485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7029, 8485 is 1.
Highest Common Factor of 7029,8485 is 1
Step 1: Since 8485 > 7029, we apply the division lemma to 8485 and 7029, to get
8485 = 7029 x 1 + 1456
Step 2: Since the reminder 7029 ≠ 0, we apply division lemma to 1456 and 7029, to get
7029 = 1456 x 4 + 1205
Step 3: We consider the new divisor 1456 and the new remainder 1205, and apply the division lemma to get
1456 = 1205 x 1 + 251
We consider the new divisor 1205 and the new remainder 251,and apply the division lemma to get
1205 = 251 x 4 + 201
We consider the new divisor 251 and the new remainder 201,and apply the division lemma to get
251 = 201 x 1 + 50
We consider the new divisor 201 and the new remainder 50,and apply the division lemma to get
201 = 50 x 4 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7029 and 8485 is 1
Notice that 1 = HCF(50,1) = HCF(201,50) = HCF(251,201) = HCF(1205,251) = HCF(1456,1205) = HCF(7029,1456) = HCF(8485,7029) .
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Frequently Asked Questions on HCF of 7029, 8485 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 7029, 8485?
Answer: HCF of 7029, 8485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7029, 8485 using Euclid's Algorithm?
Answer: For arbitrary numbers 7029, 8485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.