Highest Common Factor of 1119, 8763 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 1119, 8763 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1119, 8763 is 3 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 1119, 8763 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 1119, 8763 is 3.
HCF(1119, 8763) = 3
HCF of 1119, 8763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1119, 8763 is 3.
Highest Common Factor of 1119,8763 is 3
Step 1: Since 8763 > 1119, we apply the division lemma to 8763 and 1119, to get
8763 = 1119 x 7 + 930
Step 2: Since the reminder 1119 ≠ 0, we apply division lemma to 930 and 1119, to get
1119 = 930 x 1 + 189
Step 3: We consider the new divisor 930 and the new remainder 189, and apply the division lemma to get
930 = 189 x 4 + 174
We consider the new divisor 189 and the new remainder 174,and apply the division lemma to get
189 = 174 x 1 + 15
We consider the new divisor 174 and the new remainder 15,and apply the division lemma to get
174 = 15 x 11 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1119 and 8763 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(174,15) = HCF(189,174) = HCF(930,189) = HCF(1119,930) = HCF(8763,1119) .
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Frequently Asked Questions on HCF of 1119, 8763 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 1119, 8763?
Answer: HCF of 1119, 8763 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1119, 8763 using Euclid's Algorithm?
Answer: For arbitrary numbers 1119, 8763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.