Highest Common Factor of 753, 9995 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 753, 9995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 753, 9995 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 753, 9995 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 753, 9995 is 1.
HCF(753, 9995) = 1
HCF of 753, 9995 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 753, 9995 is 1.
Highest Common Factor of 753,9995 is 1
Step 1: Since 9995 > 753, we apply the division lemma to 9995 and 753, to get
9995 = 753 x 13 + 206
Step 2: Since the reminder 753 ≠ 0, we apply division lemma to 206 and 753, to get
753 = 206 x 3 + 135
Step 3: We consider the new divisor 206 and the new remainder 135, and apply the division lemma to get
206 = 135 x 1 + 71
We consider the new divisor 135 and the new remainder 71,and apply the division lemma to get
135 = 71 x 1 + 64
We consider the new divisor 71 and the new remainder 64,and apply the division lemma to get
71 = 64 x 1 + 7
We consider the new divisor 64 and the new remainder 7,and apply the division lemma to get
64 = 7 x 9 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 753 and 9995 is 1
Notice that 1 = HCF(7,1) = HCF(64,7) = HCF(71,64) = HCF(135,71) = HCF(206,135) = HCF(753,206) = HCF(9995,753) .
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Frequently Asked Questions on HCF of 753, 9995 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 753, 9995?
Answer: HCF of 753, 9995 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 753, 9995 using Euclid's Algorithm?
Answer: For arbitrary numbers 753, 9995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.