Highest Common Factor of 600, 804, 971, 92 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 600, 804, 971, 92 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 600, 804, 971, 92 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 600, 804, 971, 92 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 600, 804, 971, 92 is 1.
HCF(600, 804, 971, 92) = 1
HCF of 600, 804, 971, 92 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 600, 804, 971, 92 is 1.
Highest Common Factor of 600,804,971,92 is 1
Step 1: Since 804 > 600, we apply the division lemma to 804 and 600, to get
804 = 600 x 1 + 204
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 204 and 600, to get
600 = 204 x 2 + 192
Step 3: We consider the new divisor 204 and the new remainder 192, and apply the division lemma to get
204 = 192 x 1 + 12
We consider the new divisor 192 and the new remainder 12, and apply the division lemma to get
192 = 12 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 600 and 804 is 12
Notice that 12 = HCF(192,12) = HCF(204,192) = HCF(600,204) = HCF(804,600) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 971 > 12, we apply the division lemma to 971 and 12, to get
971 = 12 x 80 + 11
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 11 and 12, to get
12 = 11 x 1 + 1
Step 3: We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 12 and 971 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(971,12) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92 > 1, we apply the division lemma to 92 and 1, to get
92 = 1 x 92 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92 is 1
Notice that 1 = HCF(92,1) .
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Frequently Asked Questions on HCF of 600, 804, 971, 92 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 600, 804, 971, 92?
Answer: HCF of 600, 804, 971, 92 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 600, 804, 971, 92 using Euclid's Algorithm?
Answer: For arbitrary numbers 600, 804, 971, 92 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.