Highest Common Factor of 7225, 6712 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 7225, 6712 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7225, 6712 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 7225, 6712 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 7225, 6712 is 1.
HCF(7225, 6712) = 1
HCF of 7225, 6712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7225, 6712 is 1.
Highest Common Factor of 7225,6712 is 1
Step 1: Since 7225 > 6712, we apply the division lemma to 7225 and 6712, to get
7225 = 6712 x 1 + 513
Step 2: Since the reminder 6712 ≠ 0, we apply division lemma to 513 and 6712, to get
6712 = 513 x 13 + 43
Step 3: We consider the new divisor 513 and the new remainder 43, and apply the division lemma to get
513 = 43 x 11 + 40
We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get
43 = 40 x 1 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7225 and 6712 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(513,43) = HCF(6712,513) = HCF(7225,6712) .
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Frequently Asked Questions on HCF of 7225, 6712 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 7225, 6712?
Answer: HCF of 7225, 6712 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7225, 6712 using Euclid's Algorithm?
Answer: For arbitrary numbers 7225, 6712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
