Highest Common Factor of 7316, 4196 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 7316, 4196 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7316, 4196 is 4 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 7316, 4196 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 7316, 4196 is 4.
HCF(7316, 4196) = 4
HCF of 7316, 4196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7316, 4196 is 4.
Highest Common Factor of 7316,4196 is 4
Step 1: Since 7316 > 4196, we apply the division lemma to 7316 and 4196, to get
7316 = 4196 x 1 + 3120
Step 2: Since the reminder 4196 ≠ 0, we apply division lemma to 3120 and 4196, to get
4196 = 3120 x 1 + 1076
Step 3: We consider the new divisor 3120 and the new remainder 1076, and apply the division lemma to get
3120 = 1076 x 2 + 968
We consider the new divisor 1076 and the new remainder 968,and apply the division lemma to get
1076 = 968 x 1 + 108
We consider the new divisor 968 and the new remainder 108,and apply the division lemma to get
968 = 108 x 8 + 104
We consider the new divisor 108 and the new remainder 104,and apply the division lemma to get
108 = 104 x 1 + 4
We consider the new divisor 104 and the new remainder 4,and apply the division lemma to get
104 = 4 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7316 and 4196 is 4
Notice that 4 = HCF(104,4) = HCF(108,104) = HCF(968,108) = HCF(1076,968) = HCF(3120,1076) = HCF(4196,3120) = HCF(7316,4196) .
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Frequently Asked Questions on HCF of 7316, 4196 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 7316, 4196?
Answer: HCF of 7316, 4196 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7316, 4196 using Euclid's Algorithm?
Answer: For arbitrary numbers 7316, 4196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.