Highest Common Factor of 928, 557, 807 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, 557, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 557, 807 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, 557, 807 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, 557, 807 is 1.
HCF(928, 557, 807) = 1
HCF of 928, 557, 807 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, 557, 807 is 1.
Highest Common Factor of 928,557,807 is 1
Step 1: Since 928 > 557, we apply the division lemma to 928 and 557, to get
928 = 557 x 1 + 371
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 371 and 557, to get
557 = 371 x 1 + 186
Step 3: We consider the new divisor 371 and the new remainder 186, and apply the division lemma to get
371 = 186 x 1 + 185
We consider the new divisor 186 and the new remainder 185,and apply the division lemma to get
186 = 185 x 1 + 1
We consider the new divisor 185 and the new remainder 1,and apply the division lemma to get
185 = 1 x 185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 928 and 557 is 1
Notice that 1 = HCF(185,1) = HCF(186,185) = HCF(371,186) = HCF(557,371) = HCF(928,557) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 807 > 1, we apply the division lemma to 807 and 1, to get
807 = 1 x 807 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 807 is 1
Notice that 1 = HCF(807,1) .
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Frequently Asked Questions on HCF of 928, 557, 807 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, 557, 807?
Answer: HCF of 928, 557, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 557, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 557, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.