Highest Common Factor of 7502, 8770 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 7502, 8770 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7502, 8770 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 7502, 8770 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 7502, 8770 is 2.
HCF(7502, 8770) = 2
HCF of 7502, 8770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7502, 8770 is 2.
Highest Common Factor of 7502,8770 is 2
Step 1: Since 8770 > 7502, we apply the division lemma to 8770 and 7502, to get
8770 = 7502 x 1 + 1268
Step 2: Since the reminder 7502 ≠ 0, we apply division lemma to 1268 and 7502, to get
7502 = 1268 x 5 + 1162
Step 3: We consider the new divisor 1268 and the new remainder 1162, and apply the division lemma to get
1268 = 1162 x 1 + 106
We consider the new divisor 1162 and the new remainder 106,and apply the division lemma to get
1162 = 106 x 10 + 102
We consider the new divisor 106 and the new remainder 102,and apply the division lemma to get
106 = 102 x 1 + 4
We consider the new divisor 102 and the new remainder 4,and apply the division lemma to get
102 = 4 x 25 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7502 and 8770 is 2
Notice that 2 = HCF(4,2) = HCF(102,4) = HCF(106,102) = HCF(1162,106) = HCF(1268,1162) = HCF(7502,1268) = HCF(8770,7502) .
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Frequently Asked Questions on HCF of 7502, 8770 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 7502, 8770?
Answer: HCF of 7502, 8770 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7502, 8770 using Euclid's Algorithm?
Answer: For arbitrary numbers 7502, 8770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.