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 912, 342, 95 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 342, 95 is 19 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 912, 342, 95 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 912, 342, 95 is 19.
HCF(912, 342, 95) = 19
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 342, 95 is 19.
Step 1: Since 912 > 342, we apply the division lemma to 912 and 342, to get
912 = 342 x 2 + 228
Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 228 and 342, to get
342 = 228 x 1 + 114
Step 3: We consider the new divisor 228 and the new remainder 114, and apply the division lemma to get
228 = 114 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 114, the HCF of 912 and 342 is 114
Notice that 114 = HCF(228,114) = HCF(342,228) = HCF(912,342) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 114 > 95, we apply the division lemma to 114 and 95, to get
114 = 95 x 1 + 19
Step 2: Since the reminder 95 ≠ 0, we apply division lemma to 19 and 95, to get
95 = 19 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 114 and 95 is 19
Notice that 19 = HCF(95,19) = HCF(114,95) .
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 912, 342, 95?
Answer: HCF of 912, 342, 95 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 342, 95 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 342, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.