Highest Common Factor of 5550, 3942 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 5550, 3942 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5550, 3942 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 5550, 3942 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 5550, 3942 is 6.
HCF(5550, 3942) = 6
HCF of 5550, 3942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5550, 3942 is 6.
Highest Common Factor of 5550,3942 is 6
Step 1: Since 5550 > 3942, we apply the division lemma to 5550 and 3942, to get
5550 = 3942 x 1 + 1608
Step 2: Since the reminder 3942 ≠ 0, we apply division lemma to 1608 and 3942, to get
3942 = 1608 x 2 + 726
Step 3: We consider the new divisor 1608 and the new remainder 726, and apply the division lemma to get
1608 = 726 x 2 + 156
We consider the new divisor 726 and the new remainder 156,and apply the division lemma to get
726 = 156 x 4 + 102
We consider the new divisor 156 and the new remainder 102,and apply the division lemma to get
156 = 102 x 1 + 54
We consider the new divisor 102 and the new remainder 54,and apply the division lemma to get
102 = 54 x 1 + 48
We consider the new divisor 54 and the new remainder 48,and apply the division lemma to get
54 = 48 x 1 + 6
We consider the new divisor 48 and the new remainder 6,and apply the division lemma to get
48 = 6 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5550 and 3942 is 6
Notice that 6 = HCF(48,6) = HCF(54,48) = HCF(102,54) = HCF(156,102) = HCF(726,156) = HCF(1608,726) = HCF(3942,1608) = HCF(5550,3942) .
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Frequently Asked Questions on HCF of 5550, 3942 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 5550, 3942?
Answer: HCF of 5550, 3942 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5550, 3942 using Euclid's Algorithm?
Answer: For arbitrary numbers 5550, 3942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.