Highest Common Factor of 7137, 807 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 7137, 807 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7137, 807 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 7137, 807 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 7137, 807 is 3.
HCF(7137, 807) = 3
HCF of 7137, 807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7137, 807 is 3.
Highest Common Factor of 7137,807 is 3
Step 1: Since 7137 > 807, we apply the division lemma to 7137 and 807, to get
7137 = 807 x 8 + 681
Step 2: Since the reminder 807 ≠ 0, we apply division lemma to 681 and 807, to get
807 = 681 x 1 + 126
Step 3: We consider the new divisor 681 and the new remainder 126, and apply the division lemma to get
681 = 126 x 5 + 51
We consider the new divisor 126 and the new remainder 51,and apply the division lemma to get
126 = 51 x 2 + 24
We consider the new divisor 51 and the new remainder 24,and apply the division lemma to get
51 = 24 x 2 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7137 and 807 is 3
Notice that 3 = HCF(24,3) = HCF(51,24) = HCF(126,51) = HCF(681,126) = HCF(807,681) = HCF(7137,807) .
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Frequently Asked Questions on HCF of 7137, 807 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 7137, 807?
Answer: HCF of 7137, 807 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7137, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 7137, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.