Highest Common Factor of 4299, 1941 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 4299, 1941 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4299, 1941 is 3 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 4299, 1941 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 4299, 1941 is 3.
HCF(4299, 1941) = 3
HCF of 4299, 1941 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4299, 1941 is 3.
Highest Common Factor of 4299,1941 is 3
Step 1: Since 4299 > 1941, we apply the division lemma to 4299 and 1941, to get
4299 = 1941 x 2 + 417
Step 2: Since the reminder 1941 ≠ 0, we apply division lemma to 417 and 1941, to get
1941 = 417 x 4 + 273
Step 3: We consider the new divisor 417 and the new remainder 273, and apply the division lemma to get
417 = 273 x 1 + 144
We consider the new divisor 273 and the new remainder 144,and apply the division lemma to get
273 = 144 x 1 + 129
We consider the new divisor 144 and the new remainder 129,and apply the division lemma to get
144 = 129 x 1 + 15
We consider the new divisor 129 and the new remainder 15,and apply the division lemma to get
129 = 15 x 8 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4299 and 1941 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(129,15) = HCF(144,129) = HCF(273,144) = HCF(417,273) = HCF(1941,417) = HCF(4299,1941) .
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Frequently Asked Questions on HCF of 4299, 1941 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 4299, 1941?
Answer: HCF of 4299, 1941 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4299, 1941 using Euclid's Algorithm?
Answer: For arbitrary numbers 4299, 1941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.