Highest Common Factor of 3942, 855 using Euclid's algorithm
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 3942, 855 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 3942, 855 is 9 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 3942, 855 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 3942, 855 is 9.
HCF(3942, 855) = 9
HCF of 3942, 855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3942, 855 is 9.
Highest Common Factor of 3942,855 is 9
Step 1: Since 3942 > 855, we apply the division lemma to 3942 and 855, to get
3942 = 855 x 4 + 522
Step 2: Since the reminder 855 ≠ 0, we apply division lemma to 522 and 855, to get
855 = 522 x 1 + 333
Step 3: We consider the new divisor 522 and the new remainder 333, and apply the division lemma to get
522 = 333 x 1 + 189
We consider the new divisor 333 and the new remainder 189,and apply the division lemma to get
333 = 189 x 1 + 144
We consider the new divisor 189 and the new remainder 144,and apply the division lemma to get
189 = 144 x 1 + 45
We consider the new divisor 144 and the new remainder 45,and apply the division lemma to get
144 = 45 x 3 + 9
We consider the new divisor 45 and the new remainder 9,and apply the division lemma to get
45 = 9 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3942 and 855 is 9
Notice that 9 = HCF(45,9) = HCF(144,45) = HCF(189,144) = HCF(333,189) = HCF(522,333) = HCF(855,522) = HCF(3942,855) .
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Frequently Asked Questions on HCF of 3942, 855 using Euclid's Algorithm
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 3942, 855?
Answer: HCF of 3942, 855 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3942, 855 using Euclid's Algorithm?
Answer: For arbitrary numbers 3942, 855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.