Highest Common Factor of 8916, 707 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 8916, 707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8916, 707 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 8916, 707 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 8916, 707 is 1.
HCF(8916, 707) = 1
HCF of 8916, 707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8916, 707 is 1.
Highest Common Factor of 8916,707 is 1
Step 1: Since 8916 > 707, we apply the division lemma to 8916 and 707, to get
8916 = 707 x 12 + 432
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 432 and 707, to get
707 = 432 x 1 + 275
Step 3: We consider the new divisor 432 and the new remainder 275, and apply the division lemma to get
432 = 275 x 1 + 157
We consider the new divisor 275 and the new remainder 157,and apply the division lemma to get
275 = 157 x 1 + 118
We consider the new divisor 157 and the new remainder 118,and apply the division lemma to get
157 = 118 x 1 + 39
We consider the new divisor 118 and the new remainder 39,and apply the division lemma to get
118 = 39 x 3 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8916 and 707 is 1
Notice that 1 = HCF(39,1) = HCF(118,39) = HCF(157,118) = HCF(275,157) = HCF(432,275) = HCF(707,432) = HCF(8916,707) .
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Frequently Asked Questions on HCF of 8916, 707 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 8916, 707?
Answer: HCF of 8916, 707 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8916, 707 using Euclid's Algorithm?
Answer: For arbitrary numbers 8916, 707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.