Highest Common Factor of 7292, 3156 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 7292, 3156 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7292, 3156 is 4 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 7292, 3156 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 7292, 3156 is 4.
HCF(7292, 3156) = 4
HCF of 7292, 3156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7292, 3156 is 4.
Highest Common Factor of 7292,3156 is 4
Step 1: Since 7292 > 3156, we apply the division lemma to 7292 and 3156, to get
7292 = 3156 x 2 + 980
Step 2: Since the reminder 3156 ≠ 0, we apply division lemma to 980 and 3156, to get
3156 = 980 x 3 + 216
Step 3: We consider the new divisor 980 and the new remainder 216, and apply the division lemma to get
980 = 216 x 4 + 116
We consider the new divisor 216 and the new remainder 116,and apply the division lemma to get
216 = 116 x 1 + 100
We consider the new divisor 116 and the new remainder 100,and apply the division lemma to get
116 = 100 x 1 + 16
We consider the new divisor 100 and the new remainder 16,and apply the division lemma to get
100 = 16 x 6 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7292 and 3156 is 4
Notice that 4 = HCF(16,4) = HCF(100,16) = HCF(116,100) = HCF(216,116) = HCF(980,216) = HCF(3156,980) = HCF(7292,3156) .
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Frequently Asked Questions on HCF of 7292, 3156 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 7292, 3156?
Answer: HCF of 7292, 3156 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7292, 3156 using Euclid's Algorithm?
Answer: For arbitrary numbers 7292, 3156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.