Highest Common Factor of 7429, 6416 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 7429, 6416 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7429, 6416 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 7429, 6416 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 7429, 6416 is 1.
HCF(7429, 6416) = 1
HCF of 7429, 6416 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7429, 6416 is 1.
Highest Common Factor of 7429,6416 is 1
Step 1: Since 7429 > 6416, we apply the division lemma to 7429 and 6416, to get
7429 = 6416 x 1 + 1013
Step 2: Since the reminder 6416 ≠ 0, we apply division lemma to 1013 and 6416, to get
6416 = 1013 x 6 + 338
Step 3: We consider the new divisor 1013 and the new remainder 338, and apply the division lemma to get
1013 = 338 x 2 + 337
We consider the new divisor 338 and the new remainder 337,and apply the division lemma to get
338 = 337 x 1 + 1
We consider the new divisor 337 and the new remainder 1,and apply the division lemma to get
337 = 1 x 337 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7429 and 6416 is 1
Notice that 1 = HCF(337,1) = HCF(338,337) = HCF(1013,338) = HCF(6416,1013) = HCF(7429,6416) .
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Frequently Asked Questions on HCF of 7429, 6416 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 7429, 6416?
Answer: HCF of 7429, 6416 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7429, 6416 using Euclid's Algorithm?
Answer: For arbitrary numbers 7429, 6416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.