Highest Common Factor of 1912, 7360 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 1912, 7360 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 1912, 7360 is 8 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 1912, 7360 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 1912, 7360 is 8.
HCF(1912, 7360) = 8
HCF of 1912, 7360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1912, 7360 is 8.
Highest Common Factor of 1912,7360 is 8
Step 1: Since 7360 > 1912, we apply the division lemma to 7360 and 1912, to get
7360 = 1912 x 3 + 1624
Step 2: Since the reminder 1912 ≠ 0, we apply division lemma to 1624 and 1912, to get
1912 = 1624 x 1 + 288
Step 3: We consider the new divisor 1624 and the new remainder 288, and apply the division lemma to get
1624 = 288 x 5 + 184
We consider the new divisor 288 and the new remainder 184,and apply the division lemma to get
288 = 184 x 1 + 104
We consider the new divisor 184 and the new remainder 104,and apply the division lemma to get
184 = 104 x 1 + 80
We consider the new divisor 104 and the new remainder 80,and apply the division lemma to get
104 = 80 x 1 + 24
We consider the new divisor 80 and the new remainder 24,and apply the division lemma to get
80 = 24 x 3 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 1912 and 7360 is 8
Notice that 8 = HCF(24,8) = HCF(80,24) = HCF(104,80) = HCF(184,104) = HCF(288,184) = HCF(1624,288) = HCF(1912,1624) = HCF(7360,1912) .
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Frequently Asked Questions on HCF of 1912, 7360 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 1912, 7360?
Answer: HCF of 1912, 7360 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1912, 7360 using Euclid's Algorithm?
Answer: For arbitrary numbers 1912, 7360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.