Highest Common Factor of 4880, 3199 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 4880, 3199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4880, 3199 is 1 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 4880, 3199 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 4880, 3199 is 1.
HCF(4880, 3199) = 1
HCF of 4880, 3199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4880, 3199 is 1.
Highest Common Factor of 4880,3199 is 1
Step 1: Since 4880 > 3199, we apply the division lemma to 4880 and 3199, to get
4880 = 3199 x 1 + 1681
Step 2: Since the reminder 3199 ≠ 0, we apply division lemma to 1681 and 3199, to get
3199 = 1681 x 1 + 1518
Step 3: We consider the new divisor 1681 and the new remainder 1518, and apply the division lemma to get
1681 = 1518 x 1 + 163
We consider the new divisor 1518 and the new remainder 163,and apply the division lemma to get
1518 = 163 x 9 + 51
We consider the new divisor 163 and the new remainder 51,and apply the division lemma to get
163 = 51 x 3 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4880 and 3199 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(163,51) = HCF(1518,163) = HCF(1681,1518) = HCF(3199,1681) = HCF(4880,3199) .
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Frequently Asked Questions on HCF of 4880, 3199 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 4880, 3199?
Answer: HCF of 4880, 3199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4880, 3199 using Euclid's Algorithm?
Answer: For arbitrary numbers 4880, 3199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.