Highest Common Factor of 3880, 8348 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 3880, 8348 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3880, 8348 is 4 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 3880, 8348 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 3880, 8348 is 4.
HCF(3880, 8348) = 4
HCF of 3880, 8348 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3880, 8348 is 4.
Highest Common Factor of 3880,8348 is 4
Step 1: Since 8348 > 3880, we apply the division lemma to 8348 and 3880, to get
8348 = 3880 x 2 + 588
Step 2: Since the reminder 3880 ≠ 0, we apply division lemma to 588 and 3880, to get
3880 = 588 x 6 + 352
Step 3: We consider the new divisor 588 and the new remainder 352, and apply the division lemma to get
588 = 352 x 1 + 236
We consider the new divisor 352 and the new remainder 236,and apply the division lemma to get
352 = 236 x 1 + 116
We consider the new divisor 236 and the new remainder 116,and apply the division lemma to get
236 = 116 x 2 + 4
We consider the new divisor 116 and the new remainder 4,and apply the division lemma to get
116 = 4 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3880 and 8348 is 4
Notice that 4 = HCF(116,4) = HCF(236,116) = HCF(352,236) = HCF(588,352) = HCF(3880,588) = HCF(8348,3880) .
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Frequently Asked Questions on HCF of 3880, 8348 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 3880, 8348?
Answer: HCF of 3880, 8348 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3880, 8348 using Euclid's Algorithm?
Answer: For arbitrary numbers 3880, 8348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.