Highest Common Factor of 917, 7706 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 917, 7706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 917, 7706 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 917, 7706 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 917, 7706 is 1.
HCF(917, 7706) = 1
HCF of 917, 7706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 917, 7706 is 1.
Highest Common Factor of 917,7706 is 1
Step 1: Since 7706 > 917, we apply the division lemma to 7706 and 917, to get
7706 = 917 x 8 + 370
Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 370 and 917, to get
917 = 370 x 2 + 177
Step 3: We consider the new divisor 370 and the new remainder 177, and apply the division lemma to get
370 = 177 x 2 + 16
We consider the new divisor 177 and the new remainder 16,and apply the division lemma to get
177 = 16 x 11 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 7706 is 1
Notice that 1 = HCF(16,1) = HCF(177,16) = HCF(370,177) = HCF(917,370) = HCF(7706,917) .
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Frequently Asked Questions on HCF of 917, 7706 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 917, 7706?
Answer: HCF of 917, 7706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 917, 7706 using Euclid's Algorithm?
Answer: For arbitrary numbers 917, 7706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.