Highest Common Factor of 97, 856, 129, 674 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 97, 856, 129, 674 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 97, 856, 129, 674 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 97, 856, 129, 674 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 97, 856, 129, 674 is 1.
HCF(97, 856, 129, 674) = 1
HCF of 97, 856, 129, 674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 97, 856, 129, 674 is 1.
Highest Common Factor of 97,856,129,674 is 1
Step 1: Since 856 > 97, we apply the division lemma to 856 and 97, to get
856 = 97 x 8 + 80
Step 2: Since the reminder 97 ≠ 0, we apply division lemma to 80 and 97, to get
97 = 80 x 1 + 17
Step 3: We consider the new divisor 80 and the new remainder 17, and apply the division lemma to get
80 = 17 x 4 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 97 and 856 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(80,17) = HCF(97,80) = HCF(856,97) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 129 > 1, we apply the division lemma to 129 and 1, to get
129 = 1 x 129 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 129 is 1
Notice that 1 = HCF(129,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 674 > 1, we apply the division lemma to 674 and 1, to get
674 = 1 x 674 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 674 is 1
Notice that 1 = HCF(674,1) .
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Frequently Asked Questions on HCF of 97, 856, 129, 674 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 97, 856, 129, 674?
Answer: HCF of 97, 856, 129, 674 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 97, 856, 129, 674 using Euclid's Algorithm?
Answer: For arbitrary numbers 97, 856, 129, 674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.