Highest Common Factor of 8452, 1918 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 8452, 1918 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8452, 1918 is 2 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 8452, 1918 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 8452, 1918 is 2.
HCF(8452, 1918) = 2
HCF of 8452, 1918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8452, 1918 is 2.
Highest Common Factor of 8452,1918 is 2
Step 1: Since 8452 > 1918, we apply the division lemma to 8452 and 1918, to get
8452 = 1918 x 4 + 780
Step 2: Since the reminder 1918 ≠ 0, we apply division lemma to 780 and 1918, to get
1918 = 780 x 2 + 358
Step 3: We consider the new divisor 780 and the new remainder 358, and apply the division lemma to get
780 = 358 x 2 + 64
We consider the new divisor 358 and the new remainder 64,and apply the division lemma to get
358 = 64 x 5 + 38
We consider the new divisor 64 and the new remainder 38,and apply the division lemma to get
64 = 38 x 1 + 26
We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get
38 = 26 x 1 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8452 and 1918 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(64,38) = HCF(358,64) = HCF(780,358) = HCF(1918,780) = HCF(8452,1918) .
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Frequently Asked Questions on HCF of 8452, 1918 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 8452, 1918?
Answer: HCF of 8452, 1918 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8452, 1918 using Euclid's Algorithm?
Answer: For arbitrary numbers 8452, 1918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.