Highest Common Factor of 8472, 1492, 52837 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 8472, 1492, 52837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8472, 1492, 52837 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 8472, 1492, 52837 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 8472, 1492, 52837 is 1.
HCF(8472, 1492, 52837) = 1
HCF of 8472, 1492, 52837 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8472, 1492, 52837 is 1.
Highest Common Factor of 8472,1492,52837 is 1
Step 1: Since 8472 > 1492, we apply the division lemma to 8472 and 1492, to get
8472 = 1492 x 5 + 1012
Step 2: Since the reminder 1492 ≠ 0, we apply division lemma to 1012 and 1492, to get
1492 = 1012 x 1 + 480
Step 3: We consider the new divisor 1012 and the new remainder 480, and apply the division lemma to get
1012 = 480 x 2 + 52
We consider the new divisor 480 and the new remainder 52,and apply the division lemma to get
480 = 52 x 9 + 12
We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get
52 = 12 x 4 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8472 and 1492 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(480,52) = HCF(1012,480) = HCF(1492,1012) = HCF(8472,1492) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52837 > 4, we apply the division lemma to 52837 and 4, to get
52837 = 4 x 13209 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 52837 is 1
Notice that 1 = HCF(4,1) = HCF(52837,4) .
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Frequently Asked Questions on HCF of 8472, 1492, 52837 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 8472, 1492, 52837?
Answer: HCF of 8472, 1492, 52837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8472, 1492, 52837 using Euclid's Algorithm?
Answer: For arbitrary numbers 8472, 1492, 52837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.