Highest Common Factor of 928, 554 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 928, 554 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 554 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 928, 554 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 928, 554 is 2.
HCF(928, 554) = 2
HCF of 928, 554 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 928, 554 is 2.
Highest Common Factor of 928,554 is 2
Step 1: Since 928 > 554, we apply the division lemma to 928 and 554, to get
928 = 554 x 1 + 374
Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 374 and 554, to get
554 = 374 x 1 + 180
Step 3: We consider the new divisor 374 and the new remainder 180, and apply the division lemma to get
374 = 180 x 2 + 14
We consider the new divisor 180 and the new remainder 14,and apply the division lemma to get
180 = 14 x 12 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 928 and 554 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(180,14) = HCF(374,180) = HCF(554,374) = HCF(928,554) .
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Frequently Asked Questions on HCF of 928, 554 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 928, 554?
Answer: HCF of 928, 554 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 554 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.