Highest Common Factor of 788, 476, 758 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 788, 476, 758 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 788, 476, 758 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 788, 476, 758 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 788, 476, 758 is 2.
HCF(788, 476, 758) = 2
HCF of 788, 476, 758 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 788, 476, 758 is 2.
Highest Common Factor of 788,476,758 is 2
Step 1: Since 788 > 476, we apply the division lemma to 788 and 476, to get
788 = 476 x 1 + 312
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 312 and 476, to get
476 = 312 x 1 + 164
Step 3: We consider the new divisor 312 and the new remainder 164, and apply the division lemma to get
312 = 164 x 1 + 148
We consider the new divisor 164 and the new remainder 148,and apply the division lemma to get
164 = 148 x 1 + 16
We consider the new divisor 148 and the new remainder 16,and apply the division lemma to get
148 = 16 x 9 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 788 and 476 is 4
Notice that 4 = HCF(16,4) = HCF(148,16) = HCF(164,148) = HCF(312,164) = HCF(476,312) = HCF(788,476) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 758 > 4, we apply the division lemma to 758 and 4, to get
758 = 4 x 189 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 758 is 2
Notice that 2 = HCF(4,2) = HCF(758,4) .
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Frequently Asked Questions on HCF of 788, 476, 758 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 788, 476, 758?
Answer: HCF of 788, 476, 758 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 788, 476, 758 using Euclid's Algorithm?
Answer: For arbitrary numbers 788, 476, 758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.