Highest Common Factor of 196, 706, 70, 856 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 196, 706, 70, 856 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 196, 706, 70, 856 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 196, 706, 70, 856 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 196, 706, 70, 856 is 2.
HCF(196, 706, 70, 856) = 2
HCF of 196, 706, 70, 856 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 196, 706, 70, 856 is 2.
Highest Common Factor of 196,706,70,856 is 2
Step 1: Since 706 > 196, we apply the division lemma to 706 and 196, to get
706 = 196 x 3 + 118
Step 2: Since the reminder 196 ≠ 0, we apply division lemma to 118 and 196, to get
196 = 118 x 1 + 78
Step 3: We consider the new divisor 118 and the new remainder 78, and apply the division lemma to get
118 = 78 x 1 + 40
We consider the new divisor 78 and the new remainder 40,and apply the division lemma to get
78 = 40 x 1 + 38
We consider the new divisor 40 and the new remainder 38,and apply the division lemma to get
40 = 38 x 1 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 196 and 706 is 2
Notice that 2 = HCF(38,2) = HCF(40,38) = HCF(78,40) = HCF(118,78) = HCF(196,118) = HCF(706,196) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 2, we apply the division lemma to 70 and 2, to get
70 = 2 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 70 is 2
Notice that 2 = HCF(70,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 856 > 2, we apply the division lemma to 856 and 2, to get
856 = 2 x 428 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 856 is 2
Notice that 2 = HCF(856,2) .
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Frequently Asked Questions on HCF of 196, 706, 70, 856 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 196, 706, 70, 856?
Answer: HCF of 196, 706, 70, 856 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 196, 706, 70, 856 using Euclid's Algorithm?
Answer: For arbitrary numbers 196, 706, 70, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.