Highest Common Factor of 473, 759 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 473, 759 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 473, 759 is 11 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 473, 759 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 473, 759 is 11.
HCF(473, 759) = 11
HCF of 473, 759 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 473, 759 is 11.
Highest Common Factor of 473,759 is 11
Step 1: Since 759 > 473, we apply the division lemma to 759 and 473, to get
759 = 473 x 1 + 286
Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 286 and 473, to get
473 = 286 x 1 + 187
Step 3: We consider the new divisor 286 and the new remainder 187, and apply the division lemma to get
286 = 187 x 1 + 99
We consider the new divisor 187 and the new remainder 99,and apply the division lemma to get
187 = 99 x 1 + 88
We consider the new divisor 99 and the new remainder 88,and apply the division lemma to get
99 = 88 x 1 + 11
We consider the new divisor 88 and the new remainder 11,and apply the division lemma to get
88 = 11 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 473 and 759 is 11
Notice that 11 = HCF(88,11) = HCF(99,88) = HCF(187,99) = HCF(286,187) = HCF(473,286) = HCF(759,473) .
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Frequently Asked Questions on HCF of 473, 759 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 473, 759?
Answer: HCF of 473, 759 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 473, 759 using Euclid's Algorithm?
Answer: For arbitrary numbers 473, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.