Highest Common Factor of 7000, 9949 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 7000, 9949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7000, 9949 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 7000, 9949 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 7000, 9949 is 1.
HCF(7000, 9949) = 1
HCF of 7000, 9949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7000, 9949 is 1.
Highest Common Factor of 7000,9949 is 1
Step 1: Since 9949 > 7000, we apply the division lemma to 9949 and 7000, to get
9949 = 7000 x 1 + 2949
Step 2: Since the reminder 7000 ≠ 0, we apply division lemma to 2949 and 7000, to get
7000 = 2949 x 2 + 1102
Step 3: We consider the new divisor 2949 and the new remainder 1102, and apply the division lemma to get
2949 = 1102 x 2 + 745
We consider the new divisor 1102 and the new remainder 745,and apply the division lemma to get
1102 = 745 x 1 + 357
We consider the new divisor 745 and the new remainder 357,and apply the division lemma to get
745 = 357 x 2 + 31
We consider the new divisor 357 and the new remainder 31,and apply the division lemma to get
357 = 31 x 11 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7000 and 9949 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(357,31) = HCF(745,357) = HCF(1102,745) = HCF(2949,1102) = HCF(7000,2949) = HCF(9949,7000) .
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Frequently Asked Questions on HCF of 7000, 9949 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 7000, 9949?
Answer: HCF of 7000, 9949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7000, 9949 using Euclid's Algorithm?
Answer: For arbitrary numbers 7000, 9949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.