Highest Common Factor of 5910, 928 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 5910, 928 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5910, 928 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 5910, 928 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 5910, 928 is 2.
HCF(5910, 928) = 2
HCF of 5910, 928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5910, 928 is 2.
Highest Common Factor of 5910,928 is 2
Step 1: Since 5910 > 928, we apply the division lemma to 5910 and 928, to get
5910 = 928 x 6 + 342
Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 342 and 928, to get
928 = 342 x 2 + 244
Step 3: We consider the new divisor 342 and the new remainder 244, and apply the division lemma to get
342 = 244 x 1 + 98
We consider the new divisor 244 and the new remainder 98,and apply the division lemma to get
244 = 98 x 2 + 48
We consider the new divisor 98 and the new remainder 48,and apply the division lemma to get
98 = 48 x 2 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5910 and 928 is 2
Notice that 2 = HCF(48,2) = HCF(98,48) = HCF(244,98) = HCF(342,244) = HCF(928,342) = HCF(5910,928) .
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Frequently Asked Questions on HCF of 5910, 928 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 5910, 928?
Answer: HCF of 5910, 928 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5910, 928 using Euclid's Algorithm?
Answer: For arbitrary numbers 5910, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.