Highest Common Factor of 702, 896, 796 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 702, 896, 796 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 702, 896, 796 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 702, 896, 796 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 702, 896, 796 is 2.
HCF(702, 896, 796) = 2
HCF of 702, 896, 796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 702, 896, 796 is 2.
Highest Common Factor of 702,896,796 is 2
Step 1: Since 896 > 702, we apply the division lemma to 896 and 702, to get
896 = 702 x 1 + 194
Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 194 and 702, to get
702 = 194 x 3 + 120
Step 3: We consider the new divisor 194 and the new remainder 120, and apply the division lemma to get
194 = 120 x 1 + 74
We consider the new divisor 120 and the new remainder 74,and apply the division lemma to get
120 = 74 x 1 + 46
We consider the new divisor 74 and the new remainder 46,and apply the division lemma to get
74 = 46 x 1 + 28
We consider the new divisor 46 and the new remainder 28,and apply the division lemma to get
46 = 28 x 1 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 702 and 896 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(46,28) = HCF(74,46) = HCF(120,74) = HCF(194,120) = HCF(702,194) = HCF(896,702) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 796 > 2, we apply the division lemma to 796 and 2, to get
796 = 2 x 398 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 796 is 2
Notice that 2 = HCF(796,2) .
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Frequently Asked Questions on HCF of 702, 896, 796 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 702, 896, 796?
Answer: HCF of 702, 896, 796 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 702, 896, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 702, 896, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.