Highest Common Factor of 928, 615, 790 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, 615, 790 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 615, 790 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 928, 615, 790 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, 615, 790 is 1.
HCF(928, 615, 790) = 1
HCF of 928, 615, 790 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, 615, 790 is 1.
Highest Common Factor of 928,615,790 is 1
Step 1: Since 928 > 615, we apply the division lemma to 928 and 615, to get
928 = 615 x 1 + 313
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 313 and 615, to get
615 = 313 x 1 + 302
Step 3: We consider the new divisor 313 and the new remainder 302, and apply the division lemma to get
313 = 302 x 1 + 11
We consider the new divisor 302 and the new remainder 11,and apply the division lemma to get
302 = 11 x 27 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 928 and 615 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(302,11) = HCF(313,302) = HCF(615,313) = HCF(928,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 790 > 1, we apply the division lemma to 790 and 1, to get
790 = 1 x 790 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 790 is 1
Notice that 1 = HCF(790,1) .
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Frequently Asked Questions on HCF of 928, 615, 790 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, 615, 790?
Answer: HCF of 928, 615, 790 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 615, 790 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 615, 790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.