Highest Common Factor of 7635, 8761 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 7635, 8761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7635, 8761 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 7635, 8761 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 7635, 8761 is 1.
HCF(7635, 8761) = 1
HCF of 7635, 8761 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7635, 8761 is 1.
Highest Common Factor of 7635,8761 is 1
Step 1: Since 8761 > 7635, we apply the division lemma to 8761 and 7635, to get
8761 = 7635 x 1 + 1126
Step 2: Since the reminder 7635 ≠ 0, we apply division lemma to 1126 and 7635, to get
7635 = 1126 x 6 + 879
Step 3: We consider the new divisor 1126 and the new remainder 879, and apply the division lemma to get
1126 = 879 x 1 + 247
We consider the new divisor 879 and the new remainder 247,and apply the division lemma to get
879 = 247 x 3 + 138
We consider the new divisor 247 and the new remainder 138,and apply the division lemma to get
247 = 138 x 1 + 109
We consider the new divisor 138 and the new remainder 109,and apply the division lemma to get
138 = 109 x 1 + 29
We consider the new divisor 109 and the new remainder 29,and apply the division lemma to get
109 = 29 x 3 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7635 and 8761 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(109,29) = HCF(138,109) = HCF(247,138) = HCF(879,247) = HCF(1126,879) = HCF(7635,1126) = HCF(8761,7635) .
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Frequently Asked Questions on HCF of 7635, 8761 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 7635, 8761?
Answer: HCF of 7635, 8761 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7635, 8761 using Euclid's Algorithm?
Answer: For arbitrary numbers 7635, 8761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.