Highest Common Factor of 824, 299, 632, 60 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 824, 299, 632, 60 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 299, 632, 60 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 824, 299, 632, 60 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 824, 299, 632, 60 is 1.
HCF(824, 299, 632, 60) = 1
HCF of 824, 299, 632, 60 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 824, 299, 632, 60 is 1.
Highest Common Factor of 824,299,632,60 is 1
Step 1: Since 824 > 299, we apply the division lemma to 824 and 299, to get
824 = 299 x 2 + 226
Step 2: Since the reminder 299 ≠ 0, we apply division lemma to 226 and 299, to get
299 = 226 x 1 + 73
Step 3: We consider the new divisor 226 and the new remainder 73, and apply the division lemma to get
226 = 73 x 3 + 7
We consider the new divisor 73 and the new remainder 7,and apply the division lemma to get
73 = 7 x 10 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 824 and 299 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(73,7) = HCF(226,73) = HCF(299,226) = HCF(824,299) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 1, we apply the division lemma to 632 and 1, to get
632 = 1 x 632 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 632 is 1
Notice that 1 = HCF(632,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
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Frequently Asked Questions on HCF of 824, 299, 632, 60 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 824, 299, 632, 60?
Answer: HCF of 824, 299, 632, 60 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 299, 632, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 299, 632, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.