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 202, 707, 979, 243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 202, 707, 979, 243 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 202, 707, 979, 243 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 202, 707, 979, 243 is 1.
HCF(202, 707, 979, 243) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 202, 707, 979, 243 is 1.
Step 1: Since 707 > 202, we apply the division lemma to 707 and 202, to get
707 = 202 x 3 + 101
Step 2: Since the reminder 202 ≠ 0, we apply division lemma to 101 and 202, to get
202 = 101 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 101, the HCF of 202 and 707 is 101
Notice that 101 = HCF(202,101) = HCF(707,202) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 979 > 101, we apply the division lemma to 979 and 101, to get
979 = 101 x 9 + 70
Step 2: Since the reminder 101 ≠ 0, we apply division lemma to 70 and 101, to get
101 = 70 x 1 + 31
Step 3: We consider the new divisor 70 and the new remainder 31, and apply the division lemma to get
70 = 31 x 2 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 101 and 979 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(70,31) = HCF(101,70) = HCF(979,101) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 243 > 1, we apply the division lemma to 243 and 1, to get
243 = 1 x 243 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 243 is 1
Notice that 1 = HCF(243,1) .
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 202, 707, 979, 243?
Answer: HCF of 202, 707, 979, 243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 202, 707, 979, 243 using Euclid's Algorithm?
Answer: For arbitrary numbers 202, 707, 979, 243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.