Highest Common Factor of 1847, 7927, 68600 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 1847, 7927, 68600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1847, 7927, 68600 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 1847, 7927, 68600 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 1847, 7927, 68600 is 1.
HCF(1847, 7927, 68600) = 1
HCF of 1847, 7927, 68600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1847, 7927, 68600 is 1.
Highest Common Factor of 1847,7927,68600 is 1
Step 1: Since 7927 > 1847, we apply the division lemma to 7927 and 1847, to get
7927 = 1847 x 4 + 539
Step 2: Since the reminder 1847 ≠ 0, we apply division lemma to 539 and 1847, to get
1847 = 539 x 3 + 230
Step 3: We consider the new divisor 539 and the new remainder 230, and apply the division lemma to get
539 = 230 x 2 + 79
We consider the new divisor 230 and the new remainder 79,and apply the division lemma to get
230 = 79 x 2 + 72
We consider the new divisor 79 and the new remainder 72,and apply the division lemma to get
79 = 72 x 1 + 7
We consider the new divisor 72 and the new remainder 7,and apply the division lemma to get
72 = 7 x 10 + 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 1847 and 7927 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(72,7) = HCF(79,72) = HCF(230,79) = HCF(539,230) = HCF(1847,539) = HCF(7927,1847) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68600 > 1, we apply the division lemma to 68600 and 1, to get
68600 = 1 x 68600 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68600 is 1
Notice that 1 = HCF(68600,1) .
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Frequently Asked Questions on HCF of 1847, 7927, 68600 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 1847, 7927, 68600?
Answer: HCF of 1847, 7927, 68600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1847, 7927, 68600 using Euclid's Algorithm?
Answer: For arbitrary numbers 1847, 7927, 68600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.