Highest Common Factor of 4353, 7809 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 4353, 7809 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4353, 7809 is 3 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 4353, 7809 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 4353, 7809 is 3.
HCF(4353, 7809) = 3
HCF of 4353, 7809 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4353, 7809 is 3.
Highest Common Factor of 4353,7809 is 3
Step 1: Since 7809 > 4353, we apply the division lemma to 7809 and 4353, to get
7809 = 4353 x 1 + 3456
Step 2: Since the reminder 4353 ≠ 0, we apply division lemma to 3456 and 4353, to get
4353 = 3456 x 1 + 897
Step 3: We consider the new divisor 3456 and the new remainder 897, and apply the division lemma to get
3456 = 897 x 3 + 765
We consider the new divisor 897 and the new remainder 765,and apply the division lemma to get
897 = 765 x 1 + 132
We consider the new divisor 765 and the new remainder 132,and apply the division lemma to get
765 = 132 x 5 + 105
We consider the new divisor 132 and the new remainder 105,and apply the division lemma to get
132 = 105 x 1 + 27
We consider the new divisor 105 and the new remainder 27,and apply the division lemma to get
105 = 27 x 3 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4353 and 7809 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(105,27) = HCF(132,105) = HCF(765,132) = HCF(897,765) = HCF(3456,897) = HCF(4353,3456) = HCF(7809,4353) .
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Frequently Asked Questions on HCF of 4353, 7809 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 4353, 7809?
Answer: HCF of 4353, 7809 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4353, 7809 using Euclid's Algorithm?
Answer: For arbitrary numbers 4353, 7809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
