Highest Common Factor of 1120, 5292 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 1120, 5292 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 1120, 5292 is 28 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 1120, 5292 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 1120, 5292 is 28.
HCF(1120, 5292) = 28
HCF of 1120, 5292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1120, 5292 is 28.
Highest Common Factor of 1120,5292 is 28
Step 1: Since 5292 > 1120, we apply the division lemma to 5292 and 1120, to get
5292 = 1120 x 4 + 812
Step 2: Since the reminder 1120 ≠ 0, we apply division lemma to 812 and 1120, to get
1120 = 812 x 1 + 308
Step 3: We consider the new divisor 812 and the new remainder 308, and apply the division lemma to get
812 = 308 x 2 + 196
We consider the new divisor 308 and the new remainder 196,and apply the division lemma to get
308 = 196 x 1 + 112
We consider the new divisor 196 and the new remainder 112,and apply the division lemma to get
196 = 112 x 1 + 84
We consider the new divisor 112 and the new remainder 84,and apply the division lemma to get
112 = 84 x 1 + 28
We consider the new divisor 84 and the new remainder 28,and apply the division lemma to get
84 = 28 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 1120 and 5292 is 28
Notice that 28 = HCF(84,28) = HCF(112,84) = HCF(196,112) = HCF(308,196) = HCF(812,308) = HCF(1120,812) = HCF(5292,1120) .
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Frequently Asked Questions on HCF of 1120, 5292 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 1120, 5292?
Answer: HCF of 1120, 5292 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1120, 5292 using Euclid's Algorithm?
Answer: For arbitrary numbers 1120, 5292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.