Highest Common Factor of 974, 823, 804, 52 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 974, 823, 804, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 823, 804, 52 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 974, 823, 804, 52 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 974, 823, 804, 52 is 1.
HCF(974, 823, 804, 52) = 1
HCF of 974, 823, 804, 52 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 823, 804, 52 is 1.
Highest Common Factor of 974,823,804,52 is 1
Step 1: Since 974 > 823, we apply the division lemma to 974 and 823, to get
974 = 823 x 1 + 151
Step 2: Since the reminder 823 ≠ 0, we apply division lemma to 151 and 823, to get
823 = 151 x 5 + 68
Step 3: We consider the new divisor 151 and the new remainder 68, and apply the division lemma to get
151 = 68 x 2 + 15
We consider the new divisor 68 and the new remainder 15,and apply the division lemma to get
68 = 15 x 4 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 974 and 823 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(68,15) = HCF(151,68) = HCF(823,151) = HCF(974,823) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 804 > 1, we apply the division lemma to 804 and 1, to get
804 = 1 x 804 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 804 is 1
Notice that 1 = HCF(804,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1
Notice that 1 = HCF(52,1) .
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Frequently Asked Questions on HCF of 974, 823, 804, 52 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 974, 823, 804, 52?
Answer: HCF of 974, 823, 804, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 823, 804, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 823, 804, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
