Highest Common Factor of 4760, 8302 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 4760, 8302 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 4760, 8302 is 14 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 4760, 8302 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 4760, 8302 is 14.
HCF(4760, 8302) = 14
HCF of 4760, 8302 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4760, 8302 is 14.
Highest Common Factor of 4760,8302 is 14
Step 1: Since 8302 > 4760, we apply the division lemma to 8302 and 4760, to get
8302 = 4760 x 1 + 3542
Step 2: Since the reminder 4760 ≠ 0, we apply division lemma to 3542 and 4760, to get
4760 = 3542 x 1 + 1218
Step 3: We consider the new divisor 3542 and the new remainder 1218, and apply the division lemma to get
3542 = 1218 x 2 + 1106
We consider the new divisor 1218 and the new remainder 1106,and apply the division lemma to get
1218 = 1106 x 1 + 112
We consider the new divisor 1106 and the new remainder 112,and apply the division lemma to get
1106 = 112 x 9 + 98
We consider the new divisor 112 and the new remainder 98,and apply the division lemma to get
112 = 98 x 1 + 14
We consider the new divisor 98 and the new remainder 14,and apply the division lemma to get
98 = 14 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 4760 and 8302 is 14
Notice that 14 = HCF(98,14) = HCF(112,98) = HCF(1106,112) = HCF(1218,1106) = HCF(3542,1218) = HCF(4760,3542) = HCF(8302,4760) .
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Frequently Asked Questions on HCF of 4760, 8302 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 4760, 8302?
Answer: HCF of 4760, 8302 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4760, 8302 using Euclid's Algorithm?
Answer: For arbitrary numbers 4760, 8302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.