Highest Common Factor of 1675, 9944 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 1675, 9944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1675, 9944 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 1675, 9944 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 1675, 9944 is 1.
HCF(1675, 9944) = 1
HCF of 1675, 9944 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1675, 9944 is 1.
Highest Common Factor of 1675,9944 is 1
Step 1: Since 9944 > 1675, we apply the division lemma to 9944 and 1675, to get
9944 = 1675 x 5 + 1569
Step 2: Since the reminder 1675 ≠ 0, we apply division lemma to 1569 and 1675, to get
1675 = 1569 x 1 + 106
Step 3: We consider the new divisor 1569 and the new remainder 106, and apply the division lemma to get
1569 = 106 x 14 + 85
We consider the new divisor 106 and the new remainder 85,and apply the division lemma to get
106 = 85 x 1 + 21
We consider the new divisor 85 and the new remainder 21,and apply the division lemma to get
85 = 21 x 4 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1675 and 9944 is 1
Notice that 1 = HCF(21,1) = HCF(85,21) = HCF(106,85) = HCF(1569,106) = HCF(1675,1569) = HCF(9944,1675) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1675, 9944 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 1675, 9944?
Answer: HCF of 1675, 9944 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1675, 9944 using Euclid's Algorithm?
Answer: For arbitrary numbers 1675, 9944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
