Highest Common Factor of 848, 543, 704 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 848, 543, 704 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 543, 704 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 848, 543, 704 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 848, 543, 704 is 1.
HCF(848, 543, 704) = 1
HCF of 848, 543, 704 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 543, 704 is 1.
Highest Common Factor of 848,543,704 is 1
Step 1: Since 848 > 543, we apply the division lemma to 848 and 543, to get
848 = 543 x 1 + 305
Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 305 and 543, to get
543 = 305 x 1 + 238
Step 3: We consider the new divisor 305 and the new remainder 238, and apply the division lemma to get
305 = 238 x 1 + 67
We consider the new divisor 238 and the new remainder 67,and apply the division lemma to get
238 = 67 x 3 + 37
We consider the new divisor 67 and the new remainder 37,and apply the division lemma to get
67 = 37 x 1 + 30
We consider the new divisor 37 and the new remainder 30,and apply the division lemma to get
37 = 30 x 1 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 848 and 543 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(67,37) = HCF(238,67) = HCF(305,238) = HCF(543,305) = HCF(848,543) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 704 > 1, we apply the division lemma to 704 and 1, to get
704 = 1 x 704 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 704 is 1
Notice that 1 = HCF(704,1) .
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Frequently Asked Questions on HCF of 848, 543, 704 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 848, 543, 704?
Answer: HCF of 848, 543, 704 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 543, 704 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 543, 704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.