Highest Common Factor of 484, 74848 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 484, 74848 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 74848 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 484, 74848 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 484, 74848 is 4.
HCF(484, 74848) = 4
HCF of 484, 74848 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 484, 74848 is 4.
Highest Common Factor of 484,74848 is 4
Step 1: Since 74848 > 484, we apply the division lemma to 74848 and 484, to get
74848 = 484 x 154 + 312
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 312 and 484, to get
484 = 312 x 1 + 172
Step 3: We consider the new divisor 312 and the new remainder 172, and apply the division lemma to get
312 = 172 x 1 + 140
We consider the new divisor 172 and the new remainder 140,and apply the division lemma to get
172 = 140 x 1 + 32
We consider the new divisor 140 and the new remainder 32,and apply the division lemma to get
140 = 32 x 4 + 12
We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get
32 = 12 x 2 + 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 484 and 74848 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(140,32) = HCF(172,140) = HCF(312,172) = HCF(484,312) = HCF(74848,484) .
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Frequently Asked Questions on HCF of 484, 74848 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 484, 74848?
Answer: HCF of 484, 74848 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 74848 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 74848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.