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, 7686 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 7686 is 6 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, 7686 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, 7686 is 6.
HCF(942, 7686) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 942, 7686 is 6.
Step 1: Since 7686 > 942, we apply the division lemma to 7686 and 942, to get
7686 = 942 x 8 + 150
Step 2: Since the reminder 942 ≠ 0, we apply division lemma to 150 and 942, to get
942 = 150 x 6 + 42
Step 3: We consider the new divisor 150 and the new remainder 42, and apply the division lemma to get
150 = 42 x 3 + 24
We consider the new divisor 42 and the new remainder 24,and apply the division lemma to get
42 = 24 x 1 + 18
We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get
24 = 18 x 1 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 942 and 7686 is 6
Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(42,24) = HCF(150,42) = HCF(942,150) = HCF(7686,942) .
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, 7686?
Answer: HCF of 942, 7686 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 7686 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 7686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.