Highest Common Factor of 4449, 3198 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 4449, 3198 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4449, 3198 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 4449, 3198 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 4449, 3198 is 3.
HCF(4449, 3198) = 3
HCF of 4449, 3198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4449, 3198 is 3.
Highest Common Factor of 4449,3198 is 3
Step 1: Since 4449 > 3198, we apply the division lemma to 4449 and 3198, to get
4449 = 3198 x 1 + 1251
Step 2: Since the reminder 3198 ≠ 0, we apply division lemma to 1251 and 3198, to get
3198 = 1251 x 2 + 696
Step 3: We consider the new divisor 1251 and the new remainder 696, and apply the division lemma to get
1251 = 696 x 1 + 555
We consider the new divisor 696 and the new remainder 555,and apply the division lemma to get
696 = 555 x 1 + 141
We consider the new divisor 555 and the new remainder 141,and apply the division lemma to get
555 = 141 x 3 + 132
We consider the new divisor 141 and the new remainder 132,and apply the division lemma to get
141 = 132 x 1 + 9
We consider the new divisor 132 and the new remainder 9,and apply the division lemma to get
132 = 9 x 14 + 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 4449 and 3198 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(132,9) = HCF(141,132) = HCF(555,141) = HCF(696,555) = HCF(1251,696) = HCF(3198,1251) = HCF(4449,3198) .
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Frequently Asked Questions on HCF of 4449, 3198 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 4449, 3198?
Answer: HCF of 4449, 3198 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4449, 3198 using Euclid's Algorithm?
Answer: For arbitrary numbers 4449, 3198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
