Highest Common Factor of 673, 851, 740 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 673, 851, 740 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 673, 851, 740 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 673, 851, 740 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 673, 851, 740 is 1.
HCF(673, 851, 740) = 1
HCF of 673, 851, 740 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 673, 851, 740 is 1.
Highest Common Factor of 673,851,740 is 1
Step 1: Since 851 > 673, we apply the division lemma to 851 and 673, to get
851 = 673 x 1 + 178
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 178 and 673, to get
673 = 178 x 3 + 139
Step 3: We consider the new divisor 178 and the new remainder 139, and apply the division lemma to get
178 = 139 x 1 + 39
We consider the new divisor 139 and the new remainder 39,and apply the division lemma to get
139 = 39 x 3 + 22
We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get
39 = 22 x 1 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 673 and 851 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(139,39) = HCF(178,139) = HCF(673,178) = HCF(851,673) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 740 > 1, we apply the division lemma to 740 and 1, to get
740 = 1 x 740 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 740 is 1
Notice that 1 = HCF(740,1) .
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Frequently Asked Questions on HCF of 673, 851, 740 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 673, 851, 740?
Answer: HCF of 673, 851, 740 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 673, 851, 740 using Euclid's Algorithm?
Answer: For arbitrary numbers 673, 851, 740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.