Highest Common Factor of 9126, 7119 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 9126, 7119 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 9126, 7119 is 9 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 9126, 7119 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 9126, 7119 is 9.
HCF(9126, 7119) = 9
HCF of 9126, 7119 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9126, 7119 is 9.
Highest Common Factor of 9126,7119 is 9
Step 1: Since 9126 > 7119, we apply the division lemma to 9126 and 7119, to get
9126 = 7119 x 1 + 2007
Step 2: Since the reminder 7119 ≠ 0, we apply division lemma to 2007 and 7119, to get
7119 = 2007 x 3 + 1098
Step 3: We consider the new divisor 2007 and the new remainder 1098, and apply the division lemma to get
2007 = 1098 x 1 + 909
We consider the new divisor 1098 and the new remainder 909,and apply the division lemma to get
1098 = 909 x 1 + 189
We consider the new divisor 909 and the new remainder 189,and apply the division lemma to get
909 = 189 x 4 + 153
We consider the new divisor 189 and the new remainder 153,and apply the division lemma to get
189 = 153 x 1 + 36
We consider the new divisor 153 and the new remainder 36,and apply the division lemma to get
153 = 36 x 4 + 9
We consider the new divisor 36 and the new remainder 9,and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9126 and 7119 is 9
Notice that 9 = HCF(36,9) = HCF(153,36) = HCF(189,153) = HCF(909,189) = HCF(1098,909) = HCF(2007,1098) = HCF(7119,2007) = HCF(9126,7119) .
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Frequently Asked Questions on HCF of 9126, 7119 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 9126, 7119?
Answer: HCF of 9126, 7119 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9126, 7119 using Euclid's Algorithm?
Answer: For arbitrary numbers 9126, 7119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.