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 959, 685, 685 i.e. 137 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 685, 685 is 137 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 959, 685, 685 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 959, 685, 685 is 137.
HCF(959, 685, 685) = 137
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 685, 685 is 137.
Step 1: Since 959 > 685, we apply the division lemma to 959 and 685, to get
959 = 685 x 1 + 274
Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 274 and 685, to get
685 = 274 x 2 + 137
Step 3: We consider the new divisor 274 and the new remainder 137, and apply the division lemma to get
274 = 137 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 137, the HCF of 959 and 685 is 137
Notice that 137 = HCF(274,137) = HCF(685,274) = HCF(959,685) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 685 > 137, we apply the division lemma to 685 and 137, to get
685 = 137 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 137, the HCF of 137 and 685 is 137
Notice that 137 = HCF(685,137) .
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 959, 685, 685?
Answer: HCF of 959, 685, 685 is 137 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 685, 685 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 685, 685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.