Highest Common Factor of 4398, 3320 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 4398, 3320 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4398, 3320 is 2 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 4398, 3320 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 4398, 3320 is 2.
HCF(4398, 3320) = 2
HCF of 4398, 3320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4398, 3320 is 2.
Highest Common Factor of 4398,3320 is 2
Step 1: Since 4398 > 3320, we apply the division lemma to 4398 and 3320, to get
4398 = 3320 x 1 + 1078
Step 2: Since the reminder 3320 ≠ 0, we apply division lemma to 1078 and 3320, to get
3320 = 1078 x 3 + 86
Step 3: We consider the new divisor 1078 and the new remainder 86, and apply the division lemma to get
1078 = 86 x 12 + 46
We consider the new divisor 86 and the new remainder 46,and apply the division lemma to get
86 = 46 x 1 + 40
We consider the new divisor 46 and the new remainder 40,and apply the division lemma to get
46 = 40 x 1 + 6
We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get
40 = 6 x 6 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4398 and 3320 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(46,40) = HCF(86,46) = HCF(1078,86) = HCF(3320,1078) = HCF(4398,3320) .
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Frequently Asked Questions on HCF of 4398, 3320 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 4398, 3320?
Answer: HCF of 4398, 3320 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4398, 3320 using Euclid's Algorithm?
Answer: For arbitrary numbers 4398, 3320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.