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 760, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 760, 959 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 760, 959 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 760, 959 is 1.
HCF(760, 959) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 760, 959 is 1.
Step 1: Since 959 > 760, we apply the division lemma to 959 and 760, to get
959 = 760 x 1 + 199
Step 2: Since the reminder 760 ≠ 0, we apply division lemma to 199 and 760, to get
760 = 199 x 3 + 163
Step 3: We consider the new divisor 199 and the new remainder 163, and apply the division lemma to get
199 = 163 x 1 + 36
We consider the new divisor 163 and the new remainder 36,and apply the division lemma to get
163 = 36 x 4 + 19
We consider the new divisor 36 and the new remainder 19,and apply the division lemma to get
36 = 19 x 1 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 760 and 959 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(163,36) = HCF(199,163) = HCF(760,199) = HCF(959,760) .
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 760, 959?
Answer: HCF of 760, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 760, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 760, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.