Highest Common Factor of 4404, 6348 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 4404, 6348 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 4404, 6348 is 12 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 4404, 6348 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 4404, 6348 is 12.
HCF(4404, 6348) = 12
HCF of 4404, 6348 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4404, 6348 is 12.
Highest Common Factor of 4404,6348 is 12
Step 1: Since 6348 > 4404, we apply the division lemma to 6348 and 4404, to get
6348 = 4404 x 1 + 1944
Step 2: Since the reminder 4404 ≠ 0, we apply division lemma to 1944 and 4404, to get
4404 = 1944 x 2 + 516
Step 3: We consider the new divisor 1944 and the new remainder 516, and apply the division lemma to get
1944 = 516 x 3 + 396
We consider the new divisor 516 and the new remainder 396,and apply the division lemma to get
516 = 396 x 1 + 120
We consider the new divisor 396 and the new remainder 120,and apply the division lemma to get
396 = 120 x 3 + 36
We consider the new divisor 120 and the new remainder 36,and apply the division lemma to get
120 = 36 x 3 + 12
We consider the new divisor 36 and the new remainder 12,and apply the division lemma to get
36 = 12 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 4404 and 6348 is 12
Notice that 12 = HCF(36,12) = HCF(120,36) = HCF(396,120) = HCF(516,396) = HCF(1944,516) = HCF(4404,1944) = HCF(6348,4404) .
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Frequently Asked Questions on HCF of 4404, 6348 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 4404, 6348?
Answer: HCF of 4404, 6348 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4404, 6348 using Euclid's Algorithm?
Answer: For arbitrary numbers 4404, 6348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
