Highest Common Factor of 5446, 4974 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 5446, 4974 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5446, 4974 is 2 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 5446, 4974 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 5446, 4974 is 2.
HCF(5446, 4974) = 2
HCF of 5446, 4974 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5446, 4974 is 2.
Highest Common Factor of 5446,4974 is 2
Step 1: Since 5446 > 4974, we apply the division lemma to 5446 and 4974, to get
5446 = 4974 x 1 + 472
Step 2: Since the reminder 4974 ≠ 0, we apply division lemma to 472 and 4974, to get
4974 = 472 x 10 + 254
Step 3: We consider the new divisor 472 and the new remainder 254, and apply the division lemma to get
472 = 254 x 1 + 218
We consider the new divisor 254 and the new remainder 218,and apply the division lemma to get
254 = 218 x 1 + 36
We consider the new divisor 218 and the new remainder 36,and apply the division lemma to get
218 = 36 x 6 + 2
We consider the new divisor 36 and the new remainder 2,and apply the division lemma to get
36 = 2 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5446 and 4974 is 2
Notice that 2 = HCF(36,2) = HCF(218,36) = HCF(254,218) = HCF(472,254) = HCF(4974,472) = HCF(5446,4974) .
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Frequently Asked Questions on HCF of 5446, 4974 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 5446, 4974?
Answer: HCF of 5446, 4974 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5446, 4974 using Euclid's Algorithm?
Answer: For arbitrary numbers 5446, 4974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.