Highest Common Factor of 6925, 7322 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 6925, 7322 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6925, 7322 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 6925, 7322 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 6925, 7322 is 1.
HCF(6925, 7322) = 1
HCF of 6925, 7322 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6925, 7322 is 1.
Highest Common Factor of 6925,7322 is 1
Step 1: Since 7322 > 6925, we apply the division lemma to 7322 and 6925, to get
7322 = 6925 x 1 + 397
Step 2: Since the reminder 6925 ≠ 0, we apply division lemma to 397 and 6925, to get
6925 = 397 x 17 + 176
Step 3: We consider the new divisor 397 and the new remainder 176, and apply the division lemma to get
397 = 176 x 2 + 45
We consider the new divisor 176 and the new remainder 45,and apply the division lemma to get
176 = 45 x 3 + 41
We consider the new divisor 45 and the new remainder 41,and apply the division lemma to get
45 = 41 x 1 + 4
We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get
41 = 4 x 10 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6925 and 7322 is 1
Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(45,41) = HCF(176,45) = HCF(397,176) = HCF(6925,397) = HCF(7322,6925) .
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Frequently Asked Questions on HCF of 6925, 7322 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 6925, 7322?
Answer: HCF of 6925, 7322 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6925, 7322 using Euclid's Algorithm?
Answer: For arbitrary numbers 6925, 7322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.