Highest Common Factor of 1448, 4668 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 1448, 4668 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1448, 4668 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 1448, 4668 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 1448, 4668 is 4.
HCF(1448, 4668) = 4
HCF of 1448, 4668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1448, 4668 is 4.
Highest Common Factor of 1448,4668 is 4
Step 1: Since 4668 > 1448, we apply the division lemma to 4668 and 1448, to get
4668 = 1448 x 3 + 324
Step 2: Since the reminder 1448 ≠ 0, we apply division lemma to 324 and 1448, to get
1448 = 324 x 4 + 152
Step 3: We consider the new divisor 324 and the new remainder 152, and apply the division lemma to get
324 = 152 x 2 + 20
We consider the new divisor 152 and the new remainder 20,and apply the division lemma to get
152 = 20 x 7 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1448 and 4668 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(152,20) = HCF(324,152) = HCF(1448,324) = HCF(4668,1448) .
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Frequently Asked Questions on HCF of 1448, 4668 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 1448, 4668?
Answer: HCF of 1448, 4668 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1448, 4668 using Euclid's Algorithm?
Answer: For arbitrary numbers 1448, 4668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.