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 956, 600 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 956, 600 is 4 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 956, 600 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 956, 600 is 4.
HCF(956, 600) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 956, 600 is 4.
Step 1: Since 956 > 600, we apply the division lemma to 956 and 600, to get
956 = 600 x 1 + 356
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 356 and 600, to get
600 = 356 x 1 + 244
Step 3: We consider the new divisor 356 and the new remainder 244, and apply the division lemma to get
356 = 244 x 1 + 112
We consider the new divisor 244 and the new remainder 112,and apply the division lemma to get
244 = 112 x 2 + 20
We consider the new divisor 112 and the new remainder 20,and apply the division lemma to get
112 = 20 x 5 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 956 and 600 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(112,20) = HCF(244,112) = HCF(356,244) = HCF(600,356) = HCF(956,600) .
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 956, 600?
Answer: HCF of 956, 600 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 956, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 956, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.