Highest Common Factor of 1974, 5064 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 1974, 5064 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1974, 5064 is 6 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 1974, 5064 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 1974, 5064 is 6.
HCF(1974, 5064) = 6
HCF of 1974, 5064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1974, 5064 is 6.
Highest Common Factor of 1974,5064 is 6
Step 1: Since 5064 > 1974, we apply the division lemma to 5064 and 1974, to get
5064 = 1974 x 2 + 1116
Step 2: Since the reminder 1974 ≠ 0, we apply division lemma to 1116 and 1974, to get
1974 = 1116 x 1 + 858
Step 3: We consider the new divisor 1116 and the new remainder 858, and apply the division lemma to get
1116 = 858 x 1 + 258
We consider the new divisor 858 and the new remainder 258,and apply the division lemma to get
858 = 258 x 3 + 84
We consider the new divisor 258 and the new remainder 84,and apply the division lemma to get
258 = 84 x 3 + 6
We consider the new divisor 84 and the new remainder 6,and apply the division lemma to get
84 = 6 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1974 and 5064 is 6
Notice that 6 = HCF(84,6) = HCF(258,84) = HCF(858,258) = HCF(1116,858) = HCF(1974,1116) = HCF(5064,1974) .
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Frequently Asked Questions on HCF of 1974, 5064 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 1974, 5064?
Answer: HCF of 1974, 5064 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1974, 5064 using Euclid's Algorithm?
Answer: For arbitrary numbers 1974, 5064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
