Highest Common Factor of 788, 706, 373 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, 706, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 788, 706, 373 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 788, 706, 373 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, 706, 373 is 1.
HCF(788, 706, 373) = 1
HCF of 788, 706, 373 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, 706, 373 is 1.
Highest Common Factor of 788,706,373 is 1
Step 1: Since 788 > 706, we apply the division lemma to 788 and 706, to get
788 = 706 x 1 + 82
Step 2: Since the reminder 706 ≠ 0, we apply division lemma to 82 and 706, to get
706 = 82 x 8 + 50
Step 3: We consider the new divisor 82 and the new remainder 50, and apply the division lemma to get
82 = 50 x 1 + 32
We consider the new divisor 50 and the new remainder 32,and apply the division lemma to get
50 = 32 x 1 + 18
We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get
32 = 18 x 1 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 788 and 706 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(50,32) = HCF(82,50) = HCF(706,82) = HCF(788,706) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 373 > 2, we apply the division lemma to 373 and 2, to get
373 = 2 x 186 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 373 is 1
Notice that 1 = HCF(2,1) = HCF(373,2) .
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Frequently Asked Questions on HCF of 788, 706, 373 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, 706, 373?
Answer: HCF of 788, 706, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 788, 706, 373 using Euclid's Algorithm?
Answer: For arbitrary numbers 788, 706, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.