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 759, 889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 759, 889 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 759, 889 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 759, 889 is 1.
HCF(759, 889) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 759, 889 is 1.
Step 1: Since 889 > 759, we apply the division lemma to 889 and 759, to get
889 = 759 x 1 + 130
Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 130 and 759, to get
759 = 130 x 5 + 109
Step 3: We consider the new divisor 130 and the new remainder 109, and apply the division lemma to get
130 = 109 x 1 + 21
We consider the new divisor 109 and the new remainder 21,and apply the division lemma to get
109 = 21 x 5 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 759 and 889 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(109,21) = HCF(130,109) = HCF(759,130) = HCF(889,759) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 759, 889?
Answer: HCF of 759, 889 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 759, 889 using Euclid's Algorithm?
Answer: For arbitrary numbers 759, 889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.