Highest Common Factor of 7521, 7312 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 7521, 7312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7521, 7312 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 7521, 7312 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 7521, 7312 is 1.
HCF(7521, 7312) = 1
HCF of 7521, 7312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7521, 7312 is 1.
Highest Common Factor of 7521,7312 is 1
Step 1: Since 7521 > 7312, we apply the division lemma to 7521 and 7312, to get
7521 = 7312 x 1 + 209
Step 2: Since the reminder 7312 ≠ 0, we apply division lemma to 209 and 7312, to get
7312 = 209 x 34 + 206
Step 3: We consider the new divisor 209 and the new remainder 206, and apply the division lemma to get
209 = 206 x 1 + 3
We consider the new divisor 206 and the new remainder 3,and apply the division lemma to get
206 = 3 x 68 + 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 7521 and 7312 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(206,3) = HCF(209,206) = HCF(7312,209) = HCF(7521,7312) .
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Frequently Asked Questions on HCF of 7521, 7312 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 7521, 7312?
Answer: HCF of 7521, 7312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7521, 7312 using Euclid's Algorithm?
Answer: For arbitrary numbers 7521, 7312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.