Highest Common Factor of 9737, 7812 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 9737, 7812 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9737, 7812 is 7 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 9737, 7812 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 9737, 7812 is 7.
HCF(9737, 7812) = 7
HCF of 9737, 7812 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9737, 7812 is 7.
Highest Common Factor of 9737,7812 is 7
Step 1: Since 9737 > 7812, we apply the division lemma to 9737 and 7812, to get
9737 = 7812 x 1 + 1925
Step 2: Since the reminder 7812 ≠ 0, we apply division lemma to 1925 and 7812, to get
7812 = 1925 x 4 + 112
Step 3: We consider the new divisor 1925 and the new remainder 112, and apply the division lemma to get
1925 = 112 x 17 + 21
We consider the new divisor 112 and the new remainder 21,and apply the division lemma to get
112 = 21 x 5 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9737 and 7812 is 7
Notice that 7 = HCF(21,7) = HCF(112,21) = HCF(1925,112) = HCF(7812,1925) = HCF(9737,7812) .
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Frequently Asked Questions on HCF of 9737, 7812 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 9737, 7812?
Answer: HCF of 9737, 7812 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9737, 7812 using Euclid's Algorithm?
Answer: For arbitrary numbers 9737, 7812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
