Highest Common Factor of 8490, 7256 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 8490, 7256 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8490, 7256 is 2 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 8490, 7256 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 8490, 7256 is 2.
HCF(8490, 7256) = 2
HCF of 8490, 7256 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8490, 7256 is 2.
Highest Common Factor of 8490,7256 is 2
Step 1: Since 8490 > 7256, we apply the division lemma to 8490 and 7256, to get
8490 = 7256 x 1 + 1234
Step 2: Since the reminder 7256 ≠ 0, we apply division lemma to 1234 and 7256, to get
7256 = 1234 x 5 + 1086
Step 3: We consider the new divisor 1234 and the new remainder 1086, and apply the division lemma to get
1234 = 1086 x 1 + 148
We consider the new divisor 1086 and the new remainder 148,and apply the division lemma to get
1086 = 148 x 7 + 50
We consider the new divisor 148 and the new remainder 50,and apply the division lemma to get
148 = 50 x 2 + 48
We consider the new divisor 50 and the new remainder 48,and apply the division lemma to get
50 = 48 x 1 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8490 and 7256 is 2
Notice that 2 = HCF(48,2) = HCF(50,48) = HCF(148,50) = HCF(1086,148) = HCF(1234,1086) = HCF(7256,1234) = HCF(8490,7256) .
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Frequently Asked Questions on HCF of 8490, 7256 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 8490, 7256?
Answer: HCF of 8490, 7256 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8490, 7256 using Euclid's Algorithm?
Answer: For arbitrary numbers 8490, 7256 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.