Highest Common Factor of 8716, 7412 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 8716, 7412 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8716, 7412 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 8716, 7412 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 8716, 7412 is 4.
HCF(8716, 7412) = 4
HCF of 8716, 7412 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8716, 7412 is 4.
Highest Common Factor of 8716,7412 is 4
Step 1: Since 8716 > 7412, we apply the division lemma to 8716 and 7412, to get
8716 = 7412 x 1 + 1304
Step 2: Since the reminder 7412 ≠ 0, we apply division lemma to 1304 and 7412, to get
7412 = 1304 x 5 + 892
Step 3: We consider the new divisor 1304 and the new remainder 892, and apply the division lemma to get
1304 = 892 x 1 + 412
We consider the new divisor 892 and the new remainder 412,and apply the division lemma to get
892 = 412 x 2 + 68
We consider the new divisor 412 and the new remainder 68,and apply the division lemma to get
412 = 68 x 6 + 4
We consider the new divisor 68 and the new remainder 4,and apply the division lemma to get
68 = 4 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8716 and 7412 is 4
Notice that 4 = HCF(68,4) = HCF(412,68) = HCF(892,412) = HCF(1304,892) = HCF(7412,1304) = HCF(8716,7412) .
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Frequently Asked Questions on HCF of 8716, 7412 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 8716, 7412?
Answer: HCF of 8716, 7412 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8716, 7412 using Euclid's Algorithm?
Answer: For arbitrary numbers 8716, 7412 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.