Highest Common Factor of 7300, 3511 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 7300, 3511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7300, 3511 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 7300, 3511 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 7300, 3511 is 1.
HCF(7300, 3511) = 1
HCF of 7300, 3511 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7300, 3511 is 1.
Highest Common Factor of 7300,3511 is 1
Step 1: Since 7300 > 3511, we apply the division lemma to 7300 and 3511, to get
7300 = 3511 x 2 + 278
Step 2: Since the reminder 3511 ≠ 0, we apply division lemma to 278 and 3511, to get
3511 = 278 x 12 + 175
Step 3: We consider the new divisor 278 and the new remainder 175, and apply the division lemma to get
278 = 175 x 1 + 103
We consider the new divisor 175 and the new remainder 103,and apply the division lemma to get
175 = 103 x 1 + 72
We consider the new divisor 103 and the new remainder 72,and apply the division lemma to get
103 = 72 x 1 + 31
We consider the new divisor 72 and the new remainder 31,and apply the division lemma to get
72 = 31 x 2 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7300 and 3511 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(72,31) = HCF(103,72) = HCF(175,103) = HCF(278,175) = HCF(3511,278) = HCF(7300,3511) .
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Frequently Asked Questions on HCF of 7300, 3511 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 7300, 3511?
Answer: HCF of 7300, 3511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7300, 3511 using Euclid's Algorithm?
Answer: For arbitrary numbers 7300, 3511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
