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 942, 797, 507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 797, 507 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 942, 797, 507 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 942, 797, 507 is 1.
HCF(942, 797, 507) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 942, 797, 507 is 1.
Step 1: Since 942 > 797, we apply the division lemma to 942 and 797, to get
942 = 797 x 1 + 145
Step 2: Since the reminder 797 ≠ 0, we apply division lemma to 145 and 797, to get
797 = 145 x 5 + 72
Step 3: We consider the new divisor 145 and the new remainder 72, and apply the division lemma to get
145 = 72 x 2 + 1
We consider the new divisor 72 and the new remainder 1, and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 942 and 797 is 1
Notice that 1 = HCF(72,1) = HCF(145,72) = HCF(797,145) = HCF(942,797) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 507 > 1, we apply the division lemma to 507 and 1, to get
507 = 1 x 507 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 507 is 1
Notice that 1 = HCF(507,1) .
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 942, 797, 507?
Answer: HCF of 942, 797, 507 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 797, 507 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 797, 507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.