Highest Common Factor of 3320, 4258 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 3320, 4258 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3320, 4258 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 3320, 4258 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 3320, 4258 is 2.
HCF(3320, 4258) = 2
HCF of 3320, 4258 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3320, 4258 is 2.
Highest Common Factor of 3320,4258 is 2
Step 1: Since 4258 > 3320, we apply the division lemma to 4258 and 3320, to get
4258 = 3320 x 1 + 938
Step 2: Since the reminder 3320 ≠ 0, we apply division lemma to 938 and 3320, to get
3320 = 938 x 3 + 506
Step 3: We consider the new divisor 938 and the new remainder 506, and apply the division lemma to get
938 = 506 x 1 + 432
We consider the new divisor 506 and the new remainder 432,and apply the division lemma to get
506 = 432 x 1 + 74
We consider the new divisor 432 and the new remainder 74,and apply the division lemma to get
432 = 74 x 5 + 62
We consider the new divisor 74 and the new remainder 62,and apply the division lemma to get
74 = 62 x 1 + 12
We consider the new divisor 62 and the new remainder 12,and apply the division lemma to get
62 = 12 x 5 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3320 and 4258 is 2
Notice that 2 = HCF(12,2) = HCF(62,12) = HCF(74,62) = HCF(432,74) = HCF(506,432) = HCF(938,506) = HCF(3320,938) = HCF(4258,3320) .
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Frequently Asked Questions on HCF of 3320, 4258 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 3320, 4258?
Answer: HCF of 3320, 4258 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3320, 4258 using Euclid's Algorithm?
Answer: For arbitrary numbers 3320, 4258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.