Highest Common Factor of 7072, 2921 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 7072, 2921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7072, 2921 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 7072, 2921 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 7072, 2921 is 1.
HCF(7072, 2921) = 1
HCF of 7072, 2921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7072, 2921 is 1.
Highest Common Factor of 7072,2921 is 1
Step 1: Since 7072 > 2921, we apply the division lemma to 7072 and 2921, to get
7072 = 2921 x 2 + 1230
Step 2: Since the reminder 2921 ≠ 0, we apply division lemma to 1230 and 2921, to get
2921 = 1230 x 2 + 461
Step 3: We consider the new divisor 1230 and the new remainder 461, and apply the division lemma to get
1230 = 461 x 2 + 308
We consider the new divisor 461 and the new remainder 308,and apply the division lemma to get
461 = 308 x 1 + 153
We consider the new divisor 308 and the new remainder 153,and apply the division lemma to get
308 = 153 x 2 + 2
We consider the new divisor 153 and the new remainder 2,and apply the division lemma to get
153 = 2 x 76 + 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 7072 and 2921 is 1
Notice that 1 = HCF(2,1) = HCF(153,2) = HCF(308,153) = HCF(461,308) = HCF(1230,461) = HCF(2921,1230) = HCF(7072,2921) .
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Frequently Asked Questions on HCF of 7072, 2921 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 7072, 2921?
Answer: HCF of 7072, 2921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7072, 2921 using Euclid's Algorithm?
Answer: For arbitrary numbers 7072, 2921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.