Highest Common Factor of 707, 868 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 707, 868 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 868 is 7 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 707, 868 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 707, 868 is 7.
HCF(707, 868) = 7
HCF of 707, 868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 868 is 7.
Highest Common Factor of 707,868 is 7
Step 1: Since 868 > 707, we apply the division lemma to 868 and 707, to get
868 = 707 x 1 + 161
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 161 and 707, to get
707 = 161 x 4 + 63
Step 3: We consider the new divisor 161 and the new remainder 63, and apply the division lemma to get
161 = 63 x 2 + 35
We consider the new divisor 63 and the new remainder 35,and apply the division lemma to get
63 = 35 x 1 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 707 and 868 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(63,35) = HCF(161,63) = HCF(707,161) = HCF(868,707) .
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Frequently Asked Questions on HCF of 707, 868 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 707, 868?
Answer: HCF of 707, 868 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 868 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.